Finding the Third Proportional to 31,471 and 64,521

Step by Step Solution

1. Step 1: Write the proportion equation
   31,471 : 64,521 = 64,521 : x
2. Step 2: Convert to fraction form
   31,471/64,521 = 64,521/x
3. Step 3: Cross multiply
   31,471x = 64,521 × 64,521
4. Step 4: Simplify right side
   31,471x = 4,162,959,441
5. Step 5: Solve for x
   x = 4,162,959,441/31,471
6. Step 6: Final answer
   x = 132,279.22