Finding the Third Proportional to 57,016 and 89,441

Step by Step Solution

1. Step 1: Write the proportion equation
   57,016 : 89,441 = 89,441 : x
2. Step 2: Convert to fraction form
   57,016/89,441 = 89,441/x
3. Step 3: Cross multiply
   57,016x = 89,441 × 89,441
4. Step 4: Simplify right side
   57,016x = 7,999,692,481
5. Step 5: Solve for x
   x = 7,999,692,481/57,016
6. Step 6: Final answer
   x = 140,306.10