Finding the Third Proportional to 32,052 and 69,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,052 : 69,382.50 = 69,382.50 : x
2. Step 2: Convert to fraction form
   32,052/69,382.50 = 69,382.50/x
3. Step 3: Cross multiply
   32,052x = 69,382.50 × 69,382.50
4. Step 4: Simplify right side
   32,052x = 4,813,931,306.25
5. Step 5: Solve for x
   x = 4,813,931,306.25/32,052
6. Step 6: Final answer
   x = 150,191.29