Finding the Third Proportional to 10,780 and 24,080

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 24,080 = 24,080 : x
2. Step 2: Convert to fraction form
   10,780/24,080 = 24,080/x
3. Step 3: Cross multiply
   10,780x = 24,080 × 24,080
4. Step 4: Simplify right side
   10,780x = 579,846,400
5. Step 5: Solve for x
   x = 579,846,400/10,780
6. Step 6: Final answer
   x = 53,789.09