Finding the Third Proportional to 8,191,192,656,469.50 and 17,824,365,188,689

Step by Step Solution

1. Step 1: Write the proportion equation
   8,191,192,656,469.50 : 17,824,365,188,689 = 17,824,365,188,689 : x
2. Step 2: Convert to fraction form
   8,191,192,656,469.50/17,824,365,188,689 = 17,824,365,188,689/x
3. Step 3: Cross multiply
   8,191,192,656,469.50x = 17,824,365,188,689 × 17,824,365,188,689
4. Step 4: Simplify right side
   8,191,192,656,469.50x = 317,707,994,379,748,268,849,496,064
5. Step 5: Solve for x
   x = 317,707,994,379,748,268,849,496,064/8,191,192,656,469.50
6. Step 6: Final answer
   x = 38,786,536,674,707.41