Finding the Third Proportional to 20,080 and 42,421

Step by Step Solution

1. Step 1: Write the proportion equation
   20,080 : 42,421 = 42,421 : x
2. Step 2: Convert to fraction form
   20,080/42,421 = 42,421/x
3. Step 3: Cross multiply
   20,080x = 42,421 × 42,421
4. Step 4: Simplify right side
   20,080x = 1,799,541,241
5. Step 5: Solve for x
   x = 1,799,541,241/20,080
6. Step 6: Final answer
   x = 89,618.59