Finding the Third Proportional to 5,638.50 and 8,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638.50 : 8,014.50 = 8,014.50 : x
2. Step 2: Convert to fraction form
   5,638.50/8,014.50 = 8,014.50/x
3. Step 3: Cross multiply
   5,638.50x = 8,014.50 × 8,014.50
4. Step 4: Simplify right side
   5,638.50x = 64,232,210.25
5. Step 5: Solve for x
   x = 64,232,210.25/5,638.50
6. Step 6: Final answer
   x = 11,391.72