Finding the Third Proportional to 41,801 and 89,432

Step by Step Solution

1. Step 1: Write the proportion equation
   41,801 : 89,432 = 89,432 : x
2. Step 2: Convert to fraction form
   41,801/89,432 = 89,432/x
3. Step 3: Cross multiply
   41,801x = 89,432 × 89,432
4. Step 4: Simplify right side
   41,801x = 7,998,082,624
5. Step 5: Solve for x
   x = 7,998,082,624/41,801
6. Step 6: Final answer
   x = 191,337.11