Finding the Third Proportional to 31,712 and 69,328

Step by Step Solution

1. Step 1: Write the proportion equation
   31,712 : 69,328 = 69,328 : x
2. Step 2: Convert to fraction form
   31,712/69,328 = 69,328/x
3. Step 3: Cross multiply
   31,712x = 69,328 × 69,328
4. Step 4: Simplify right side
   31,712x = 4,806,371,584
5. Step 5: Solve for x
   x = 4,806,371,584/31,712
6. Step 6: Final answer
   x = 151,563.18