Finding the Third Proportional to 31,710 and 47,466

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 47,466 = 47,466 : x
2. Step 2: Convert to fraction form
   31,710/47,466 = 47,466/x
3. Step 3: Cross multiply
   31,710x = 47,466 × 47,466
4. Step 4: Simplify right side
   31,710x = 2,253,021,156
5. Step 5: Solve for x
   x = 2,253,021,156/31,710
6. Step 6: Final answer
   x = 71,050.81