Finding the Third Proportional to 1,596 and 2,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596 : 2,143.50 = 2,143.50 : x
2. Step 2: Convert to fraction form
   1,596/2,143.50 = 2,143.50/x
3. Step 3: Cross multiply
   1,596x = 2,143.50 × 2,143.50
4. Step 4: Simplify right side
   1,596x = 4,594,592.25
5. Step 5: Solve for x
   x = 4,594,592.25/1,596
6. Step 6: Final answer
   x = 2,878.82