Finding the Third Proportional to 10,124 and 11,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124 : 11,196 = 11,196 : x
2. Step 2: Convert to fraction form
   10,124/11,196 = 11,196/x
3. Step 3: Cross multiply
   10,124x = 11,196 × 11,196
4. Step 4: Simplify right side
   10,124x = 125,350,416
5. Step 5: Solve for x
   x = 125,350,416/10,124
6. Step 6: Final answer
   x = 12,381.51