Finding the Third Proportional to 41,509.13 and 91,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,509.13 : 91,003.50 = 91,003.50 : x
2. Step 2: Convert to fraction form
   41,509.13/91,003.50 = 91,003.50/x
3. Step 3: Cross multiply
   41,509.13x = 91,003.50 × 91,003.50
4. Step 4: Simplify right side
   41,509.13x = 8,281,637,012.25
5. Step 5: Solve for x
   x = 8,281,637,012.25/41,509.13
6. Step 6: Final answer
   x = 199,513.65