Finding the Third Proportional to 3,278.81 and 5,085.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,278.81 : 5,085.56 = 5,085.56 : x
2. Step 2: Convert to fraction form
   3,278.81/5,085.56 = 5,085.56/x
3. Step 3: Cross multiply
   3,278.81x = 5,085.56 × 5,085.56
4. Step 4: Simplify right side
   3,278.81x = 25,862,945.94
5. Step 5: Solve for x
   x = 25,862,945.94/3,278.81
6. Step 6: Final answer
   x = 7,887.90