Finding the Third Proportional to 6,468 and 14,061

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 14,061 = 14,061 : x
2. Step 2: Convert to fraction form
   6,468/14,061 = 14,061/x
3. Step 3: Cross multiply
   6,468x = 14,061 × 14,061
4. Step 4: Simplify right side
   6,468x = 197,711,721
5. Step 5: Solve for x
   x = 197,711,721/6,468
6. Step 6: Final answer
   x = 30,567.67