Finding the Third Proportional to 41,971.13 and 91,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,971.13 : 91,321.50 = 91,321.50 : x
2. Step 2: Convert to fraction form
   41,971.13/91,321.50 = 91,321.50/x
3. Step 3: Cross multiply
   41,971.13x = 91,321.50 × 91,321.50
4. Step 4: Simplify right side
   41,971.13x = 8,339,616,362.25
5. Step 5: Solve for x
   x = 8,339,616,362.25/41,971.13
6. Step 6: Final answer
   x = 198,698.90