Finding the Third Proportional to 32,127.25 and 69,617.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,127.25 : 69,617.75 = 69,617.75 : x
2. Step 2: Convert to fraction form
   32,127.25/69,617.75 = 69,617.75/x
3. Step 3: Cross multiply
   32,127.25x = 69,617.75 × 69,617.75
4. Step 4: Simplify right side
   32,127.25x = 4,846,631,115.06
5. Step 5: Solve for x
   x = 4,846,631,115.06/32,127.25
6. Step 6: Final answer
   x = 150,857.33