Finding the Third Proportional to 41,582.75 and 91,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,582.75 : 91,138.50 = 91,138.50 : x
2. Step 2: Convert to fraction form
   41,582.75/91,138.50 = 91,138.50/x
3. Step 3: Cross multiply
   41,582.75x = 91,138.50 × 91,138.50
4. Step 4: Simplify right side
   41,582.75x = 8,306,226,182.25
5. Step 5: Solve for x
   x = 8,306,226,182.25/41,582.75
6. Step 6: Final answer
   x = 199,751.73