Finding the Third Proportional to 1,299.50 and 2,847.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,299.50 : 2,847.25 = 2,847.25 : x
2. Step 2: Convert to fraction form
   1,299.50/2,847.25 = 2,847.25/x
3. Step 3: Cross multiply
   1,299.50x = 2,847.25 × 2,847.25
4. Step 4: Simplify right side
   1,299.50x = 8,106,832.56
5. Step 5: Solve for x
   x = 8,106,832.56/1,299.50
6. Step 6: Final answer
   x = 6,238.42