Finding the Third Proportional to 31,607 and 69,578

Step by Step Solution

1. Step 1: Write the proportion equation
   31,607 : 69,578 = 69,578 : x
2. Step 2: Convert to fraction form
   31,607/69,578 = 69,578/x
3. Step 3: Cross multiply
   31,607x = 69,578 × 69,578
4. Step 4: Simplify right side
   31,607x = 4,841,098,084
5. Step 5: Solve for x
   x = 4,841,098,084/31,607
6. Step 6: Final answer
   x = 153,165.38