Finding the Third Proportional to 35,752.50 and 77,046.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,752.50 : 77,046.75 = 77,046.75 : x
2. Step 2: Convert to fraction form
   35,752.50/77,046.75 = 77,046.75/x
3. Step 3: Cross multiply
   35,752.50x = 77,046.75 × 77,046.75
4. Step 4: Simplify right side
   35,752.50x = 5,936,201,685.56
5. Step 5: Solve for x
   x = 5,936,201,685.56/35,752.50
6. Step 6: Final answer
   x = 166,035.99