Finding the Third Proportional to 3,100.78 and 4,947.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,100.78 : 4,947.33 = 4,947.33 : x
2. Step 2: Convert to fraction form
   3,100.78/4,947.33 = 4,947.33/x
3. Step 3: Cross multiply
   3,100.78x = 4,947.33 × 4,947.33
4. Step 4: Simplify right side
   3,100.78x = 24,476,055.58
5. Step 5: Solve for x
   x = 24,476,055.58/3,100.78
6. Step 6: Final answer
   x = 7,893.51