Finding the Third Proportional to 2,575.50 and 3,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.50 : 3,679.50 = 3,679.50 : x
2. Step 2: Convert to fraction form
   2,575.50/3,679.50 = 3,679.50/x
3. Step 3: Cross multiply
   2,575.50x = 3,679.50 × 3,679.50
4. Step 4: Simplify right side
   2,575.50x = 13,538,720.25
5. Step 5: Solve for x
   x = 13,538,720.25/2,575.50
6. Step 6: Final answer
   x = 5,256.73