Finding the Third Proportional to 4,677.75 and 7,153.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,677.75 : 7,153.31 = 7,153.31 : x
2. Step 2: Convert to fraction form
   4,677.75/7,153.31 = 7,153.31/x
3. Step 3: Cross multiply
   4,677.75x = 7,153.31 × 7,153.31
4. Step 4: Simplify right side
   4,677.75x = 51,169,879.72
5. Step 5: Solve for x
   x = 51,169,879.72/4,677.75
6. Step 6: Final answer
   x = 10,938.99