Finding the Third Proportional to 2,952 and 4,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,952 : 4,021.50 = 4,021.50 : x
2. Step 2: Convert to fraction form
   2,952/4,021.50 = 4,021.50/x
3. Step 3: Cross multiply
   2,952x = 4,021.50 × 4,021.50
4. Step 4: Simplify right side
   2,952x = 16,172,462.25
5. Step 5: Solve for x
   x = 16,172,462.25/2,952
6. Step 6: Final answer
   x = 5,478.48