Finding the Third Proportional to 41,637 and 89,922

Step by Step Solution

1. Step 1: Write the proportion equation
   41,637 : 89,922 = 89,922 : x
2. Step 2: Convert to fraction form
   41,637/89,922 = 89,922/x
3. Step 3: Cross multiply
   41,637x = 89,922 × 89,922
4. Step 4: Simplify right side
   41,637x = 8,085,966,084
5. Step 5: Solve for x
   x = 8,085,966,084/41,637
6. Step 6: Final answer
   x = 194,201.46