Finding the Third Proportional to 2,467 and 3,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467 : 3,663.50 = 3,663.50 : x
2. Step 2: Convert to fraction form
   2,467/3,663.50 = 3,663.50/x
3. Step 3: Cross multiply
   2,467x = 3,663.50 × 3,663.50
4. Step 4: Simplify right side
   2,467x = 13,421,232.25
5. Step 5: Solve for x
   x = 13,421,232.25/2,467
6. Step 6: Final answer
   x = 5,440.30