Finding the Third Proportional to 27,749 and 59,872

Step by Step Solution

1. Step 1: Write the proportion equation
   27,749 : 59,872 = 59,872 : x
2. Step 2: Convert to fraction form
   27,749/59,872 = 59,872/x
3. Step 3: Cross multiply
   27,749x = 59,872 × 59,872
4. Step 4: Simplify right side
   27,749x = 3,584,656,384
5. Step 5: Solve for x
   x = 3,584,656,384/27,749
6. Step 6: Final answer
   x = 129,181.46