Finding the Third Proportional to 1,311.50 and 2,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311.50 : 2,824.50 = 2,824.50 : x
2. Step 2: Convert to fraction form
   1,311.50/2,824.50 = 2,824.50/x
3. Step 3: Cross multiply
   1,311.50x = 2,824.50 × 2,824.50
4. Step 4: Simplify right side
   1,311.50x = 7,977,800.25
5. Step 5: Solve for x
   x = 7,977,800.25/1,311.50
6. Step 6: Final answer
   x = 6,082.96