Finding the Third Proportional to 2,428 and 3,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428 : 3,546.50 = 3,546.50 : x
2. Step 2: Convert to fraction form
   2,428/3,546.50 = 3,546.50/x
3. Step 3: Cross multiply
   2,428x = 3,546.50 × 3,546.50
4. Step 4: Simplify right side
   2,428x = 12,577,662.25
5. Step 5: Solve for x
   x = 12,577,662.25/2,428
6. Step 6: Final answer
   x = 5,180.26