Finding the Third Proportional to 32,167.50 and 69,702

Step by Step Solution

1. Step 1: Write the proportion equation
   32,167.50 : 69,702 = 69,702 : x
2. Step 2: Convert to fraction form
   32,167.50/69,702 = 69,702/x
3. Step 3: Cross multiply
   32,167.50x = 69,702 × 69,702
4. Step 4: Simplify right side
   32,167.50x = 4,858,368,804
5. Step 5: Solve for x
   x = 4,858,368,804/32,167.50
6. Step 6: Final answer
   x = 151,033.46