Finding the Third Proportional to 2,632.50 and 4,038.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 4,038.75 = 4,038.75 : x
2. Step 2: Convert to fraction form
   2,632.50/4,038.75 = 4,038.75/x
3. Step 3: Cross multiply
   2,632.50x = 4,038.75 × 4,038.75
4. Step 4: Simplify right side
   2,632.50x = 16,311,501.56
5. Step 5: Solve for x
   x = 16,311,501.56/2,632.50
6. Step 6: Final answer
   x = 6,196.20