Finding the Third Proportional to 41,836 and 91,592

Step by Step Solution

1. Step 1: Write the proportion equation
   41,836 : 91,592 = 91,592 : x
2. Step 2: Convert to fraction form
   41,836/91,592 = 91,592/x
3. Step 3: Cross multiply
   41,836x = 91,592 × 91,592
4. Step 4: Simplify right side
   41,836x = 8,389,094,464
5. Step 5: Solve for x
   x = 8,389,094,464/41,836
6. Step 6: Final answer
   x = 200,523.34