Finding the Third Proportional to 32,643 and 76,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,643 : 76,639.50 = 76,639.50 : x
2. Step 2: Convert to fraction form
   32,643/76,639.50 = 76,639.50/x
3. Step 3: Cross multiply
   32,643x = 76,639.50 × 76,639.50
4. Step 4: Simplify right side
   32,643x = 5,873,612,960.25
5. Step 5: Solve for x
   x = 5,873,612,960.25/32,643
6. Step 6: Final answer
   x = 179,934.84