Finding the Third Proportional to 14,049 and 21,114

Step by Step Solution

1. Step 1: Write the proportion equation
   14,049 : 21,114 = 21,114 : x
2. Step 2: Convert to fraction form
   14,049/21,114 = 21,114/x
3. Step 3: Cross multiply
   14,049x = 21,114 × 21,114
4. Step 4: Simplify right side
   14,049x = 445,800,996
5. Step 5: Solve for x
   x = 445,800,996/14,049
6. Step 6: Final answer
   x = 31,731.87