Finding the Third Proportional to 3,679.50 and 5,629.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,679.50 : 5,629.88 = 5,629.88 : x
2. Step 2: Convert to fraction form
   3,679.50/5,629.88 = 5,629.88/x
3. Step 3: Cross multiply
   3,679.50x = 5,629.88 × 5,629.88
4. Step 4: Simplify right side
   3,679.50x = 31,695,492.52
5. Step 5: Solve for x
   x = 31,695,492.52/3,679.50
6. Step 6: Final answer
   x = 8,614.08