Finding the Third Proportional to 1,596.59 and 2,429.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.59 : 2,429.37 = 2,429.37 : x
2. Step 2: Convert to fraction form
   1,596.59/2,429.37 = 2,429.37/x
3. Step 3: Cross multiply
   1,596.59x = 2,429.37 × 2,429.37
4. Step 4: Simplify right side
   1,596.59x = 5,901,824.93
5. Step 5: Solve for x
   x = 5,901,824.93/1,596.59
6. Step 6: Final answer
   x = 3,696.53