Finding the Third Proportional to 1,394.59 and 2,159.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.59 : 2,159.41 = 2,159.41 : x
2. Step 2: Convert to fraction form
   1,394.59/2,159.41 = 2,159.41/x
3. Step 3: Cross multiply
   1,394.59x = 2,159.41 × 2,159.41
4. Step 4: Simplify right side
   1,394.59x = 4,663,035.35
5. Step 5: Solve for x
   x = 4,663,035.35/1,394.59
6. Step 6: Final answer
   x = 3,343.65