Finding the Third Proportional to 2,278.13 and 3,477.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,278.13 : 3,477.94 = 3,477.94 : x
2. Step 2: Convert to fraction form
   2,278.13/3,477.94 = 3,477.94/x
3. Step 3: Cross multiply
   2,278.13x = 3,477.94 × 3,477.94
4. Step 4: Simplify right side
   2,278.13x = 12,096,049.25
5. Step 5: Solve for x
   x = 12,096,049.25/2,278.13
6. Step 6: Final answer
   x = 5,309.65