Finding the Third Proportional to 2,949.75 and 5,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,949.75 : 5,278.50 = 5,278.50 : x
2. Step 2: Convert to fraction form
   2,949.75/5,278.50 = 5,278.50/x
3. Step 3: Cross multiply
   2,949.75x = 5,278.50 × 5,278.50
4. Step 4: Simplify right side
   2,949.75x = 27,862,562.25
5. Step 5: Solve for x
   x = 27,862,562.25/2,949.75
6. Step 6: Final answer
   x = 9,445.74