Finding the Third Proportional to 1,374.75 and 2,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.75 : 2,866.50 = 2,866.50 : x
2. Step 2: Convert to fraction form
   1,374.75/2,866.50 = 2,866.50/x
3. Step 3: Cross multiply
   1,374.75x = 2,866.50 × 2,866.50
4. Step 4: Simplify right side
   1,374.75x = 8,216,822.25
5. Step 5: Solve for x
   x = 8,216,822.25/1,374.75
6. Step 6: Final answer
   x = 5,976.96