Finding the Third Proportional to 31,403 and 47,105

Step by Step Solution

1. Step 1: Write the proportion equation
   31,403 : 47,105 = 47,105 : x
2. Step 2: Convert to fraction form
   31,403/47,105 = 47,105/x
3. Step 3: Cross multiply
   31,403x = 47,105 × 47,105
4. Step 4: Simplify right side
   31,403x = 2,218,881,025
5. Step 5: Solve for x
   x = 2,218,881,025/31,403
6. Step 6: Final answer
   x = 70,658.25