Finding the Third Proportional to 14,443 and 31,643

Step by Step Solution

1. Step 1: Write the proportion equation
   14,443 : 31,643 = 31,643 : x
2. Step 2: Convert to fraction form
   14,443/31,643 = 31,643/x
3. Step 3: Cross multiply
   14,443x = 31,643 × 31,643
4. Step 4: Simplify right side
   14,443x = 1,001,279,449
5. Step 5: Solve for x
   x = 1,001,279,449/14,443
6. Step 6: Final answer
   x = 69,326.28