Finding the Third Proportional to 7,233.75 and 9,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,233.75 : 9,769.50 = 9,769.50 : x
2. Step 2: Convert to fraction form
   7,233.75/9,769.50 = 9,769.50/x
3. Step 3: Cross multiply
   7,233.75x = 9,769.50 × 9,769.50
4. Step 4: Simplify right side
   7,233.75x = 95,443,130.25
5. Step 5: Solve for x
   x = 95,443,130.25/7,233.75
6. Step 6: Final answer
   x = 13,194.14