Finding the Third Proportional to 2,421 and 3,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421 : 3,466.50 = 3,466.50 : x
2. Step 2: Convert to fraction form
   2,421/3,466.50 = 3,466.50/x
3. Step 3: Cross multiply
   2,421x = 3,466.50 × 3,466.50
4. Step 4: Simplify right side
   2,421x = 12,016,622.25
5. Step 5: Solve for x
   x = 12,016,622.25/2,421
6. Step 6: Final answer
   x = 4,963.50