Finding the Third Proportional to 10,314 and 14,061

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 14,061 = 14,061 : x
2. Step 2: Convert to fraction form
   10,314/14,061 = 14,061/x
3. Step 3: Cross multiply
   10,314x = 14,061 × 14,061
4. Step 4: Simplify right side
   10,314x = 197,711,721
5. Step 5: Solve for x
   x = 197,711,721/10,314
6. Step 6: Final answer
   x = 19,169.26