Finding the Third Proportional to 2,001.75 and 4,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.75 : 4,131.50 = 4,131.50 : x
2. Step 2: Convert to fraction form
   2,001.75/4,131.50 = 4,131.50/x
3. Step 3: Cross multiply
   2,001.75x = 4,131.50 × 4,131.50
4. Step 4: Simplify right side
   2,001.75x = 17,069,292.25
5. Step 5: Solve for x
   x = 17,069,292.25/2,001.75
6. Step 6: Final answer
   x = 8,527.18