Finding the Third Proportional to 31,524 and 64,672

Step by Step Solution

1. Step 1: Write the proportion equation
   31,524 : 64,672 = 64,672 : x
2. Step 2: Convert to fraction form
   31,524/64,672 = 64,672/x
3. Step 3: Cross multiply
   31,524x = 64,672 × 64,672
4. Step 4: Simplify right side
   31,524x = 4,182,467,584
5. Step 5: Solve for x
   x = 4,182,467,584/31,524
6. Step 6: Final answer
   x = 132,675.66