Finding the Third Proportional to 31,719 and 47,499

Step by Step Solution

1. Step 1: Write the proportion equation
   31,719 : 47,499 = 47,499 : x
2. Step 2: Convert to fraction form
   31,719/47,499 = 47,499/x
3. Step 3: Cross multiply
   31,719x = 47,499 × 47,499
4. Step 4: Simplify right side
   31,719x = 2,256,155,001
5. Step 5: Solve for x
   x = 2,256,155,001/31,719
6. Step 6: Final answer
   x = 71,129.45