Finding the Third Proportional to 4,834.50 and 7,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,834.50 : 7,233.75 = 7,233.75 : x
2. Step 2: Convert to fraction form
   4,834.50/7,233.75 = 7,233.75/x
3. Step 3: Cross multiply
   4,834.50x = 7,233.75 × 7,233.75
4. Step 4: Simplify right side
   4,834.50x = 52,327,139.06
5. Step 5: Solve for x
   x = 52,327,139.06/4,834.50
6. Step 6: Final answer
   x = 10,823.69