Finding the Third Proportional to 599.75 and 1,300.06

Step by Step Solution

1. Step 1: Write the proportion equation
   599.75 : 1,300.06 = 1,300.06 : x
2. Step 2: Convert to fraction form
   599.75/1,300.06 = 1,300.06/x
3. Step 3: Cross multiply
   599.75x = 1,300.06 × 1,300.06
4. Step 4: Simplify right side
   599.75x = 1,690,162.50
5. Step 5: Solve for x
   x = 1,690,162.50/599.75
6. Step 6: Final answer
   x = 2,818.11