Finding the Third Proportional to 41,022 and 89,426

Step by Step Solution

1. Step 1: Write the proportion equation
   41,022 : 89,426 = 89,426 : x
2. Step 2: Convert to fraction form
   41,022/89,426 = 89,426/x
3. Step 3: Cross multiply
   41,022x = 89,426 × 89,426
4. Step 4: Simplify right side
   41,022x = 7,997,009,476
5. Step 5: Solve for x
   x = 7,997,009,476/41,022
6. Step 6: Final answer
   x = 194,944.41