Finding the Third Proportional to 5,629.50 and 8,422.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 8,422.88 = 8,422.88 : x
2. Step 2: Convert to fraction form
   5,629.50/8,422.88 = 8,422.88/x
3. Step 3: Cross multiply
   5,629.50x = 8,422.88 × 8,422.88
4. Step 4: Simplify right side
   5,629.50x = 70,944,823.27
5. Step 5: Solve for x
   x = 70,944,823.27/5,629.50
6. Step 6: Final answer
   x = 12,602.33