Finding the Third Proportional to 57,639 and 89,013

Step by Step Solution

1. Step 1: Write the proportion equation
   57,639 : 89,013 = 89,013 : x
2. Step 2: Convert to fraction form
   57,639/89,013 = 89,013/x
3. Step 3: Cross multiply
   57,639x = 89,013 × 89,013
4. Step 4: Simplify right side
   57,639x = 7,923,314,169
5. Step 5: Solve for x
   x = 7,923,314,169/57,639
6. Step 6: Final answer
   x = 137,464.46