Finding the Third Proportional to 27,499 and 59,342

Step by Step Solution

1. Step 1: Write the proportion equation
   27,499 : 59,342 = 59,342 : x
2. Step 2: Convert to fraction form
   27,499/59,342 = 59,342/x
3. Step 3: Cross multiply
   27,499x = 59,342 × 59,342
4. Step 4: Simplify right side
   27,499x = 3,521,472,964
5. Step 5: Solve for x
   x = 3,521,472,964/27,499
6. Step 6: Final answer
   x = 128,058.22