Finding the Third Proportional to 1,380.50 and 2,854

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.50 : 2,854 = 2,854 : x
2. Step 2: Convert to fraction form
   1,380.50/2,854 = 2,854/x
3. Step 3: Cross multiply
   1,380.50x = 2,854 × 2,854
4. Step 4: Simplify right side
   1,380.50x = 8,145,316
5. Step 5: Solve for x
   x = 8,145,316/1,380.50
6. Step 6: Final answer
   x = 5,900.27