Finding the Third Proportional to 27,727 and 59,287

Step by Step Solution

1. Step 1: Write the proportion equation
   27,727 : 59,287 = 59,287 : x
2. Step 2: Convert to fraction form
   27,727/59,287 = 59,287/x
3. Step 3: Cross multiply
   27,727x = 59,287 × 59,287
4. Step 4: Simplify right side
   27,727x = 3,514,948,369
5. Step 5: Solve for x
   x = 3,514,948,369/27,727
6. Step 6: Final answer
   x = 126,769.88