Finding the Third Proportional to 2,641.78 and 4,888.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.78 : 4,888.69 = 4,888.69 : x
2. Step 2: Convert to fraction form
   2,641.78/4,888.69 = 4,888.69/x
3. Step 3: Cross multiply
   2,641.78x = 4,888.69 × 4,888.69
4. Step 4: Simplify right side
   2,641.78x = 23,899,265.47
5. Step 5: Solve for x
   x = 23,899,265.47/2,641.78
6. Step 6: Final answer
   x = 9,046.65