Finding the Third Proportional to 2,352 and 3,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352 : 3,442.50 = 3,442.50 : x
2. Step 2: Convert to fraction form
   2,352/3,442.50 = 3,442.50/x
3. Step 3: Cross multiply
   2,352x = 3,442.50 × 3,442.50
4. Step 4: Simplify right side
   2,352x = 11,850,806.25
5. Step 5: Solve for x
   x = 11,850,806.25/2,352
6. Step 6: Final answer
   x = 5,038.61