Finding the Third Proportional to 32,188.50 and 69,345

Step by Step Solution

1. Step 1: Write the proportion equation
   32,188.50 : 69,345 = 69,345 : x
2. Step 2: Convert to fraction form
   32,188.50/69,345 = 69,345/x
3. Step 3: Cross multiply
   32,188.50x = 69,345 × 69,345
4. Step 4: Simplify right side
   32,188.50x = 4,808,729,025
5. Step 5: Solve for x
   x = 4,808,729,025/32,188.50
6. Step 6: Final answer
   x = 149,392.77