Finding the Third Proportional to 30,713 and 64,521

Step by Step Solution

1. Step 1: Write the proportion equation
   30,713 : 64,521 = 64,521 : x
2. Step 2: Convert to fraction form
   30,713/64,521 = 64,521/x
3. Step 3: Cross multiply
   30,713x = 64,521 × 64,521
4. Step 4: Simplify right side
   30,713x = 4,162,959,441
5. Step 5: Solve for x
   x = 4,162,959,441/30,713
6. Step 6: Final answer
   x = 135,543.89