Finding the Third Proportional to 35,766 and 52,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 52,609.50 = 52,609.50 : x
2. Step 2: Convert to fraction form
   35,766/52,609.50 = 52,609.50/x
3. Step 3: Cross multiply
   35,766x = 52,609.50 × 52,609.50
4. Step 4: Simplify right side
   35,766x = 2,767,759,490.25
5. Step 5: Solve for x
   x = 2,767,759,490.25/35,766
6. Step 6: Final answer
   x = 77,385.21