Finding the Third Proportional to 41,832 and 89,730

Step by Step Solution

1. Step 1: Write the proportion equation
   41,832 : 89,730 = 89,730 : x
2. Step 2: Convert to fraction form
   41,832/89,730 = 89,730/x
3. Step 3: Cross multiply
   41,832x = 89,730 × 89,730
4. Step 4: Simplify right side
   41,832x = 8,051,472,900
5. Step 5: Solve for x
   x = 8,051,472,900/41,832
6. Step 6: Final answer
   x = 192,471.62