Finding the Third Proportional to 62,838 and 89,601

Step by Step Solution

1. Step 1: Write the proportion equation
   62,838 : 89,601 = 89,601 : x
2. Step 2: Convert to fraction form
   62,838/89,601 = 89,601/x
3. Step 3: Cross multiply
   62,838x = 89,601 × 89,601
4. Step 4: Simplify right side
   62,838x = 8,028,339,201
5. Step 5: Solve for x
   x = 8,028,339,201/62,838
6. Step 6: Final answer
   x = 127,762.49