Finding the Third Proportional to 7,650 and 10,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,650 : 10,234.50 = 10,234.50 : x
2. Step 2: Convert to fraction form
   7,650/10,234.50 = 10,234.50/x
3. Step 3: Cross multiply
   7,650x = 10,234.50 × 10,234.50
4. Step 4: Simplify right side
   7,650x = 104,744,990.25
5. Step 5: Solve for x
   x = 104,744,990.25/7,650
6. Step 6: Final answer
   x = 13,692.16