Finding the Third Proportional to 31,540 and 68,984

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540 : 68,984 = 68,984 : x
2. Step 2: Convert to fraction form
   31,540/68,984 = 68,984/x
3. Step 3: Cross multiply
   31,540x = 68,984 × 68,984
4. Step 4: Simplify right side
   31,540x = 4,758,792,256
5. Step 5: Solve for x
   x = 4,758,792,256/31,540
6. Step 6: Final answer
   x = 150,881.17