Finding the Third Proportional to 31,416 and 45,384

Step by Step Solution

1. Step 1: Write the proportion equation
   31,416 : 45,384 = 45,384 : x
2. Step 2: Convert to fraction form
   31,416/45,384 = 45,384/x
3. Step 3: Cross multiply
   31,416x = 45,384 × 45,384
4. Step 4: Simplify right side
   31,416x = 2,059,707,456
5. Step 5: Solve for x
   x = 2,059,707,456/31,416
6. Step 6: Final answer
   x = 65,562.37