Finding the Third Proportional to 20,120 and 42,080

Step by Step Solution

1. Step 1: Write the proportion equation
   20,120 : 42,080 = 42,080 : x
2. Step 2: Convert to fraction form
   20,120/42,080 = 42,080/x
3. Step 3: Cross multiply
   20,120x = 42,080 × 42,080
4. Step 4: Simplify right side
   20,120x = 1,770,726,400
5. Step 5: Solve for x
   x = 1,770,726,400/20,120
6. Step 6: Final answer
   x = 88,008.27