Finding the Third Proportional to 6,462 and 14,385.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,462 : 14,385.38 = 14,385.38 : x
2. Step 2: Convert to fraction form
   6,462/14,385.38 = 14,385.38/x
3. Step 3: Cross multiply
   6,462x = 14,385.38 × 14,385.38
4. Step 4: Simplify right side
   6,462x = 206,939,013.89
5. Step 5: Solve for x
   x = 206,939,013.89/6,462
6. Step 6: Final answer
   x = 32,023.99