Finding the Third Proportional to 10,250 and 14,124

Step by Step Solution

1. Step 1: Write the proportion equation
   10,250 : 14,124 = 14,124 : x
2. Step 2: Convert to fraction form
   10,250/14,124 = 14,124/x
3. Step 3: Cross multiply
   10,250x = 14,124 × 14,124
4. Step 4: Simplify right side
   10,250x = 199,487,376
5. Step 5: Solve for x
   x = 199,487,376/10,250
6. Step 6: Final answer
   x = 19,462.18