Finding the Third Proportional to 35,463 and 52,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,463 : 52,493.50 = 52,493.50 : x
2. Step 2: Convert to fraction form
   35,463/52,493.50 = 52,493.50/x
3. Step 3: Cross multiply
   35,463x = 52,493.50 × 52,493.50
4. Step 4: Simplify right side
   35,463x = 2,755,567,542.25
5. Step 5: Solve for x
   x = 2,755,567,542.25/35,463
6. Step 6: Final answer
   x = 77,702.61