Finding the Third Proportional to 41,928 and 91,632

Step by Step Solution

1. Step 1: Write the proportion equation
   41,928 : 91,632 = 91,632 : x
2. Step 2: Convert to fraction form
   41,928/91,632 = 91,632/x
3. Step 3: Cross multiply
   41,928x = 91,632 × 91,632
4. Step 4: Simplify right side
   41,928x = 8,396,423,424
5. Step 5: Solve for x
   x = 8,396,423,424/41,928
6. Step 6: Final answer
   x = 200,258.14