Finding the Third Proportional to 41,538 and 89,716

Step by Step Solution

1. Step 1: Write the proportion equation
   41,538 : 89,716 = 89,716 : x
2. Step 2: Convert to fraction form
   41,538/89,716 = 89,716/x
3. Step 3: Cross multiply
   41,538x = 89,716 × 89,716
4. Step 4: Simplify right side
   41,538x = 8,048,960,656
5. Step 5: Solve for x
   x = 8,048,960,656/41,538
6. Step 6: Final answer
   x = 193,773.43