Finding the Third Proportional to 4,746.94 and 7,156.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,746.94 : 7,156.69 = 7,156.69 : x
2. Step 2: Convert to fraction form
   4,746.94/7,156.69 = 7,156.69/x
3. Step 3: Cross multiply
   4,746.94x = 7,156.69 × 7,156.69
4. Step 4: Simplify right side
   4,746.94x = 51,218,175.97
5. Step 5: Solve for x
   x = 51,218,175.97/4,746.94
6. Step 6: Final answer
   x = 10,789.73