Finding the Third Proportional to 31,542 and 64,722

Step by Step Solution

1. Step 1: Write the proportion equation
   31,542 : 64,722 = 64,722 : x
2. Step 2: Convert to fraction form
   31,542/64,722 = 64,722/x
3. Step 3: Cross multiply
   31,542x = 64,722 × 64,722
4. Step 4: Simplify right side
   31,542x = 4,188,937,284
5. Step 5: Solve for x
   x = 4,188,937,284/31,542
6. Step 6: Final answer
   x = 132,805.06