Finding the Third Proportional to 27,596 and 59,080

Step by Step Solution

1. Step 1: Write the proportion equation
   27,596 : 59,080 = 59,080 : x
2. Step 2: Convert to fraction form
   27,596/59,080 = 59,080/x
3. Step 3: Cross multiply
   27,596x = 59,080 × 59,080
4. Step 4: Simplify right side
   27,596x = 3,490,446,400
5. Step 5: Solve for x
   x = 3,490,446,400/27,596
6. Step 6: Final answer
   x = 126,483.78