Finding the Third Proportional to 2,278.13 and 3,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,278.13 : 3,538.69 = 3,538.69 : x
2. Step 2: Convert to fraction form
   2,278.13/3,538.69 = 3,538.69/x
3. Step 3: Cross multiply
   2,278.13x = 3,538.69 × 3,538.69
4. Step 4: Simplify right side
   2,278.13x = 12,522,309.22
5. Step 5: Solve for x
   x = 12,522,309.22/2,278.13
6. Step 6: Final answer
   x = 5,496.76