Finding the Third Proportional to 10,127 and 13,624

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127 : 13,624 = 13,624 : x
2. Step 2: Convert to fraction form
   10,127/13,624 = 13,624/x
3. Step 3: Cross multiply
   10,127x = 13,624 × 13,624
4. Step 4: Simplify right side
   10,127x = 185,613,376
5. Step 5: Solve for x
   x = 185,613,376/10,127
6. Step 6: Final answer
   x = 18,328.56