Finding the Third Proportional to 41,008 and 89,674

Step by Step Solution

1. Step 1: Write the proportion equation
   41,008 : 89,674 = 89,674 : x
2. Step 2: Convert to fraction form
   41,008/89,674 = 89,674/x
3. Step 3: Cross multiply
   41,008x = 89,674 × 89,674
4. Step 4: Simplify right side
   41,008x = 8,041,426,276
5. Step 5: Solve for x
   x = 8,041,426,276/41,008
6. Step 6: Final answer
   x = 196,094.09