Finding the Third Proportional to 35,700.75 and 77,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,700.75 : 77,962.50 = 77,962.50 : x
2. Step 2: Convert to fraction form
   35,700.75/77,962.50 = 77,962.50/x
3. Step 3: Cross multiply
   35,700.75x = 77,962.50 × 77,962.50
4. Step 4: Simplify right side
   35,700.75x = 6,078,151,406.25
5. Step 5: Solve for x
   x = 6,078,151,406.25/35,700.75
6. Step 6: Final answer
   x = 170,252.77