Finding the Third Proportional to 32,148.75 and 69,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,148.75 : 69,643.50 = 69,643.50 : x
2. Step 2: Convert to fraction form
   32,148.75/69,643.50 = 69,643.50/x
3. Step 3: Cross multiply
   32,148.75x = 69,643.50 × 69,643.50
4. Step 4: Simplify right side
   32,148.75x = 4,850,217,092.25
5. Step 5: Solve for x
   x = 4,850,217,092.25/32,148.75
6. Step 6: Final answer
   x = 150,867.98