Finding the Third Proportional to 31,712 and 68,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,712 : 68,328.50 = 68,328.50 : x
2. Step 2: Convert to fraction form
   31,712/68,328.50 = 68,328.50/x
3. Step 3: Cross multiply
   31,712x = 68,328.50 × 68,328.50
4. Step 4: Simplify right side
   31,712x = 4,668,783,912.25
5. Step 5: Solve for x
   x = 4,668,783,912.25/31,712
6. Step 6: Final answer
   x = 147,224.52