Finding the Third Proportional to 42,260 and 59,080

Step by Step Solution

1. Step 1: Write the proportion equation
   42,260 : 59,080 = 59,080 : x
2. Step 2: Convert to fraction form
   42,260/59,080 = 59,080/x
3. Step 3: Cross multiply
   42,260x = 59,080 × 59,080
4. Step 4: Simplify right side
   42,260x = 3,490,446,400
5. Step 5: Solve for x
   x = 3,490,446,400/42,260
6. Step 6: Final answer
   x = 82,594.57