Finding the Third Proportional to 35,403.75 and 76,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,403.75 : 76,639.50 = 76,639.50 : x
2. Step 2: Convert to fraction form
   35,403.75/76,639.50 = 76,639.50/x
3. Step 3: Cross multiply
   35,403.75x = 76,639.50 × 76,639.50
4. Step 4: Simplify right side
   35,403.75x = 5,873,612,960.25
5. Step 5: Solve for x
   x = 5,873,612,960.25/35,403.75
6. Step 6: Final answer
   x = 165,903.70