Finding the Third Proportional to 2,371 and 3,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371 : 3,248.50 = 3,248.50 : x
2. Step 2: Convert to fraction form
   2,371/3,248.50 = 3,248.50/x
3. Step 3: Cross multiply
   2,371x = 3,248.50 × 3,248.50
4. Step 4: Simplify right side
   2,371x = 10,552,752.25
5. Step 5: Solve for x
   x = 10,552,752.25/2,371
6. Step 6: Final answer
   x = 4,450.76