Finding the Third Proportional to 1,443 and 1,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443 : 1,952.50 = 1,952.50 : x
2. Step 2: Convert to fraction form
   1,443/1,952.50 = 1,952.50/x
3. Step 3: Cross multiply
   1,443x = 1,952.50 × 1,952.50
4. Step 4: Simplify right side
   1,443x = 3,812,256.25
5. Step 5: Solve for x
   x = 3,812,256.25/1,443
6. Step 6: Final answer
   x = 2,641.90