Finding the Third Proportional to 27,876 and 59,586

Step by Step Solution

1. Step 1: Write the proportion equation
   27,876 : 59,586 = 59,586 : x
2. Step 2: Convert to fraction form
   27,876/59,586 = 59,586/x
3. Step 3: Cross multiply
   27,876x = 59,586 × 59,586
4. Step 4: Simplify right side
   27,876x = 3,550,491,396
5. Step 5: Solve for x
   x = 3,550,491,396/27,876
6. Step 6: Final answer
   x = 127,367.32