Finding the Third Proportional to 4,733.50 and 7,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,733.50 : 7,166.25 = 7,166.25 : x
2. Step 2: Convert to fraction form
   4,733.50/7,166.25 = 7,166.25/x
3. Step 3: Cross multiply
   4,733.50x = 7,166.25 × 7,166.25
4. Step 4: Simplify right side
   4,733.50x = 51,355,139.06
5. Step 5: Solve for x
   x = 51,355,139.06/4,733.50
6. Step 6: Final answer
   x = 10,849.30