Finding the Third Proportional to 7,196 and 11,114

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196 : 11,114 = 11,114 : x
2. Step 2: Convert to fraction form
   7,196/11,114 = 11,114/x
3. Step 3: Cross multiply
   7,196x = 11,114 × 11,114
4. Step 4: Simplify right side
   7,196x = 123,520,996
5. Step 5: Solve for x
   x = 123,520,996/7,196
6. Step 6: Final answer
   x = 17,165.23