Finding the Third Proportional to 31,668 and 42,633

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 42,633 = 42,633 : x
2. Step 2: Convert to fraction form
   31,668/42,633 = 42,633/x
3. Step 3: Cross multiply
   31,668x = 42,633 × 42,633
4. Step 4: Simplify right side
   31,668x = 1,817,572,689
5. Step 5: Solve for x
   x = 1,817,572,689/31,668
6. Step 6: Final answer
   x = 57,394.62