Finding the Third Proportional to 27,838 and 59,566

Step by Step Solution

1. Step 1: Write the proportion equation
   27,838 : 59,566 = 59,566 : x
2. Step 2: Convert to fraction form
   27,838/59,566 = 59,566/x
3. Step 3: Cross multiply
   27,838x = 59,566 × 59,566
4. Step 4: Simplify right side
   27,838x = 3,548,108,356
5. Step 5: Solve for x
   x = 3,548,108,356/27,838
6. Step 6: Final answer
   x = 127,455.58