Finding the Third Proportional to 14,124 and 32,839

Step by Step Solution

1. Step 1: Write the proportion equation
   14,124 : 32,839 = 32,839 : x
2. Step 2: Convert to fraction form
   14,124/32,839 = 32,839/x
3. Step 3: Cross multiply
   14,124x = 32,839 × 32,839
4. Step 4: Simplify right side
   14,124x = 1,078,399,921
5. Step 5: Solve for x
   x = 1,078,399,921/14,124
6. Step 6: Final answer
   x = 76,352.30