Finding the Third Proportional to 2,288.88 and 4,699.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288.88 : 4,699.27 = 4,699.27 : x
2. Step 2: Convert to fraction form
   2,288.88/4,699.27 = 4,699.27/x
3. Step 3: Cross multiply
   2,288.88x = 4,699.27 × 4,699.27
4. Step 4: Simplify right side
   2,288.88x = 22,083,097.41
5. Step 5: Solve for x
   x = 22,083,097.41/2,288.88
6. Step 6: Final answer
   x = 9,647.98