Finding the Third Proportional to 7,196 and 10,126

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196 : 10,126 = 10,126 : x
2. Step 2: Convert to fraction form
   7,196/10,126 = 10,126/x
3. Step 3: Cross multiply
   7,196x = 10,126 × 10,126
4. Step 4: Simplify right side
   7,196x = 102,535,876
5. Step 5: Solve for x
   x = 102,535,876/7,196
6. Step 6: Final answer
   x = 14,249.01