Finding the Third Proportional to 8,827.50 and 19,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,827.50 : 19,381.50 = 19,381.50 : x
2. Step 2: Convert to fraction form
   8,827.50/19,381.50 = 19,381.50/x
3. Step 3: Cross multiply
   8,827.50x = 19,381.50 × 19,381.50
4. Step 4: Simplify right side
   8,827.50x = 375,642,542.25
5. Step 5: Solve for x
   x = 375,642,542.25/8,827.50
6. Step 6: Final answer
   x = 42,553.67