Finding the Third Proportional to 41,622 and 89,896

Step by Step Solution

1. Step 1: Write the proportion equation
   41,622 : 89,896 = 89,896 : x
2. Step 2: Convert to fraction form
   41,622/89,896 = 89,896/x
3. Step 3: Cross multiply
   41,622x = 89,896 × 89,896
4. Step 4: Simplify right side
   41,622x = 8,081,290,816
5. Step 5: Solve for x
   x = 8,081,290,816/41,622
6. Step 6: Final answer
   x = 194,159.12