Finding the Third Proportional to 1,056.80 and 1,426.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.80 : 1,426.57 = 1,426.57 : x
2. Step 2: Convert to fraction form
   1,056.80/1,426.57 = 1,426.57/x
3. Step 3: Cross multiply
   1,056.80x = 1,426.57 × 1,426.57
4. Step 4: Simplify right side
   1,056.80x = 2,035,102.86
5. Step 5: Solve for x
   x = 2,035,102.86/1,056.80
6. Step 6: Final answer
   x = 1,925.73