Finding the Third Proportional to 10,080 and 11,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 11,119.50 = 11,119.50 : x
2. Step 2: Convert to fraction form
   10,080/11,119.50 = 11,119.50/x
3. Step 3: Cross multiply
   10,080x = 11,119.50 × 11,119.50
4. Step 4: Simplify right side
   10,080x = 123,643,280.25
5. Step 5: Solve for x
   x = 123,643,280.25/10,080
6. Step 6: Final answer
   x = 12,266.20