Finding the Third Proportional to 4,734.38 and 7,340.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,734.38 : 7,340.81 = 7,340.81 : x
2. Step 2: Convert to fraction form
   4,734.38/7,340.81 = 7,340.81/x
3. Step 3: Cross multiply
   4,734.38x = 7,340.81 × 7,340.81
4. Step 4: Simplify right side
   4,734.38x = 53,887,528.16
5. Step 5: Solve for x
   x = 53,887,528.16/4,734.38
6. Step 6: Final answer
   x = 11,382.18