Finding the Third Proportional to 1,310.25 and 2,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,310.25 : 2,797.50 = 2,797.50 : x
2. Step 2: Convert to fraction form
   1,310.25/2,797.50 = 2,797.50/x
3. Step 3: Cross multiply
   1,310.25x = 2,797.50 × 2,797.50
4. Step 4: Simplify right side
   1,310.25x = 7,826,006.25
5. Step 5: Solve for x
   x = 7,826,006.25/1,310.25
6. Step 6: Final answer
   x = 5,972.91