Finding the Third Proportional to 1,599.75 and 2,424.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,599.75 : 2,424.56 = 2,424.56 : x
2. Step 2: Convert to fraction form
   1,599.75/2,424.56 = 2,424.56/x
3. Step 3: Cross multiply
   1,599.75x = 2,424.56 × 2,424.56
4. Step 4: Simplify right side
   1,599.75x = 5,878,503.32
5. Step 5: Solve for x
   x = 5,878,503.32/1,599.75
6. Step 6: Final answer
   x = 3,674.64