Finding the Third Proportional to 2,131 and 3,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131 : 3,265.50 = 3,265.50 : x
2. Step 2: Convert to fraction form
   2,131/3,265.50 = 3,265.50/x
3. Step 3: Cross multiply
   2,131x = 3,265.50 × 3,265.50
4. Step 4: Simplify right side
   2,131x = 10,663,490.25
5. Step 5: Solve for x
   x = 10,663,490.25/2,131
6. Step 6: Final answer
   x = 5,003.98