Finding the Third Proportional to 1,426.68 and 2,278.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.68 : 2,278.76 = 2,278.76 : x
2. Step 2: Convert to fraction form
   1,426.68/2,278.76 = 2,278.76/x
3. Step 3: Cross multiply
   1,426.68x = 2,278.76 × 2,278.76
4. Step 4: Simplify right side
   1,426.68x = 5,192,737.17
5. Step 5: Solve for x
   x = 5,192,737.17/1,426.68
6. Step 6: Final answer
   x = 3,639.75