Finding the Third Proportional to 10,158 and 14,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158 : 14,496 = 14,496 : x
2. Step 2: Convert to fraction form
   10,158/14,496 = 14,496/x
3. Step 3: Cross multiply
   10,158x = 14,496 × 14,496
4. Step 4: Simplify right side
   10,158x = 210,134,016
5. Step 5: Solve for x
   x = 210,134,016/10,158
6. Step 6: Final answer
   x = 20,686.55