Finding the Third Proportional to 32,382.75 and 69,686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,382.75 : 69,686.25 = 69,686.25 : x
2. Step 2: Convert to fraction form
   32,382.75/69,686.25 = 69,686.25/x
3. Step 3: Cross multiply
   32,382.75x = 69,686.25 × 69,686.25
4. Step 4: Simplify right side
   32,382.75x = 4,856,173,439.06
5. Step 5: Solve for x
   x = 4,856,173,439.06/32,382.75
6. Step 6: Final answer
   x = 149,961.74