Finding the Third Proportional to 35,002.50 and 76,809.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,002.50 : 76,809.38 = 76,809.38 : x
2. Step 2: Convert to fraction form
   35,002.50/76,809.38 = 76,809.38/x
3. Step 3: Cross multiply
   35,002.50x = 76,809.38 × 76,809.38
4. Step 4: Simplify right side
   35,002.50x = 5,899,680,087.89
5. Step 5: Solve for x
   x = 5,899,680,087.89/35,002.50
6. Step 6: Final answer
   x = 168,550.25