Finding the Third Proportional to 1,544.06 and 2,356.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544.06 : 2,356.59 = 2,356.59 : x
2. Step 2: Convert to fraction form
   1,544.06/2,356.59 = 2,356.59/x
3. Step 3: Cross multiply
   1,544.06x = 2,356.59 × 2,356.59
4. Step 4: Simplify right side
   1,544.06x = 5,553,534.10
5. Step 5: Solve for x
   x = 5,553,534.10/1,544.06
6. Step 6: Final answer
   x = 3,596.70