Finding the Third Proportional to 1,500.25 and 3,120.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.25 : 3,120.75 = 3,120.75 : x
2. Step 2: Convert to fraction form
   1,500.25/3,120.75 = 3,120.75/x
3. Step 3: Cross multiply
   1,500.25x = 3,120.75 × 3,120.75
4. Step 4: Simplify right side
   1,500.25x = 9,739,080.56
5. Step 5: Solve for x
   x = 9,739,080.56/1,500.25
6. Step 6: Final answer
   x = 6,491.64