Finding the Third Proportional to 27,583 and 59,540

Step by Step Solution

1. Step 1: Write the proportion equation
   27,583 : 59,540 = 59,540 : x
2. Step 2: Convert to fraction form
   27,583/59,540 = 59,540/x
3. Step 3: Cross multiply
   27,583x = 59,540 × 59,540
4. Step 4: Simplify right side
   27,583x = 3,545,011,600
5. Step 5: Solve for x
   x = 3,545,011,600/27,583
6. Step 6: Final answer
   x = 128,521.61