Finding the Third Proportional to 1,562.41 and 2,392.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.41 : 2,392.98 = 2,392.98 : x
2. Step 2: Convert to fraction form
   1,562.41/2,392.98 = 2,392.98/x
3. Step 3: Cross multiply
   1,562.41x = 2,392.98 × 2,392.98
4. Step 4: Simplify right side
   1,562.41x = 5,726,355.52
5. Step 5: Solve for x
   x = 5,726,355.52/1,562.41
6. Step 6: Final answer
   x = 3,665.07