Finding the Third Proportional to 2,323 and 3,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323 : 3,488.50 = 3,488.50 : x
2. Step 2: Convert to fraction form
   2,323/3,488.50 = 3,488.50/x
3. Step 3: Cross multiply
   2,323x = 3,488.50 × 3,488.50
4. Step 4: Simplify right side
   2,323x = 12,169,632.25
5. Step 5: Solve for x
   x = 12,169,632.25/2,323
6. Step 6: Final answer
   x = 5,238.76