Finding the Third Proportional to 1,724.25 and 2,342.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,724.25 : 2,342.63 = 2,342.63 : x
2. Step 2: Convert to fraction form
   1,724.25/2,342.63 = 2,342.63/x
3. Step 3: Cross multiply
   1,724.25x = 2,342.63 × 2,342.63
4. Step 4: Simplify right side
   1,724.25x = 5,487,891.89
5. Step 5: Solve for x
   x = 5,487,891.89/1,724.25
6. Step 6: Final answer
   x = 3,182.77