Finding the Third Proportional to 11,140 and 15,078

Step by Step Solution

1. Step 1: Write the proportion equation
   11,140 : 15,078 = 15,078 : x
2. Step 2: Convert to fraction form
   11,140/15,078 = 15,078/x
3. Step 3: Cross multiply
   11,140x = 15,078 × 15,078
4. Step 4: Simplify right side
   11,140x = 227,346,084
5. Step 5: Solve for x
   x = 227,346,084/11,140
6. Step 6: Final answer
   x = 20,408.09