Finding the Third Proportional to 27,871 and 59,522

Step by Step Solution

1. Step 1: Write the proportion equation
   27,871 : 59,522 = 59,522 : x
2. Step 2: Convert to fraction form
   27,871/59,522 = 59,522/x
3. Step 3: Cross multiply
   27,871x = 59,522 × 59,522
4. Step 4: Simplify right side
   27,871x = 3,542,868,484
5. Step 5: Solve for x
   x = 3,542,868,484/27,871
6. Step 6: Final answer
   x = 127,116.66