Finding the Third Proportional to 11,420 and 13,040

Step by Step Solution

1. Step 1: Write the proportion equation
   11,420 : 13,040 = 13,040 : x
2. Step 2: Convert to fraction form
   11,420/13,040 = 13,040/x
3. Step 3: Cross multiply
   11,420x = 13,040 × 13,040
4. Step 4: Simplify right side
   11,420x = 170,041,600
5. Step 5: Solve for x
   x = 170,041,600/11,420
6. Step 6: Final answer
   x = 14,889.81