Finding the Third Proportional to 1,348.88 and 2,947.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,348.88 : 2,947.78 = 2,947.78 : x
2. Step 2: Convert to fraction form
   1,348.88/2,947.78 = 2,947.78/x
3. Step 3: Cross multiply
   1,348.88x = 2,947.78 × 2,947.78
4. Step 4: Simplify right side
   1,348.88x = 8,689,414.30
5. Step 5: Solve for x
   x = 8,689,414.30/1,348.88
6. Step 6: Final answer
   x = 6,441.97