Finding the Third Proportional to 1,508.63 and 2,400.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,508.63 : 2,400.56 = 2,400.56 : x
2. Step 2: Convert to fraction form
   1,508.63/2,400.56 = 2,400.56/x
3. Step 3: Cross multiply
   1,508.63x = 2,400.56 × 2,400.56
4. Step 4: Simplify right side
   1,508.63x = 5,762,700.32
5. Step 5: Solve for x
   x = 5,762,700.32/1,508.63
6. Step 6: Final answer
   x = 3,819.84