Finding the Third Proportional to 2,262.94 and 3,478.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.94 : 3,478.78 = 3,478.78 : x
2. Step 2: Convert to fraction form
   2,262.94/3,478.78 = 3,478.78/x
3. Step 3: Cross multiply
   2,262.94x = 3,478.78 × 3,478.78
4. Step 4: Simplify right side
   2,262.94x = 12,101,918.99
5. Step 5: Solve for x
   x = 12,101,918.99/2,262.94
6. Step 6: Final answer
   x = 5,347.88