Finding the Third Proportional to 41,832 and 89,488

Step by Step Solution

1. Step 1: Write the proportion equation
   41,832 : 89,488 = 89,488 : x
2. Step 2: Convert to fraction form
   41,832/89,488 = 89,488/x
3. Step 3: Cross multiply
   41,832x = 89,488 × 89,488
4. Step 4: Simplify right side
   41,832x = 8,008,102,144
5. Step 5: Solve for x
   x = 8,008,102,144/41,832
6. Step 6: Final answer
   x = 191,434.84