Finding the Third Proportional to 1,323.84 and 1,426.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.84 : 1,426.78 = 1,426.78 : x
2. Step 2: Convert to fraction form
   1,323.84/1,426.78 = 1,426.78/x
3. Step 3: Cross multiply
   1,323.84x = 1,426.78 × 1,426.78
4. Step 4: Simplify right side
   1,323.84x = 2,035,704.74
5. Step 5: Solve for x
   x = 2,035,704.74/1,323.84
6. Step 6: Final answer
   x = 1,537.72