Finding the Third Proportional to 7,189.50 and 8,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,189.50 : 8,647.50 = 8,647.50 : x
2. Step 2: Convert to fraction form
   7,189.50/8,647.50 = 8,647.50/x
3. Step 3: Cross multiply
   7,189.50x = 8,647.50 × 8,647.50
4. Step 4: Simplify right side
   7,189.50x = 74,779,256.25
5. Step 5: Solve for x
   x = 74,779,256.25/7,189.50
6. Step 6: Final answer
   x = 10,401.18