Finding the Third Proportional to 1,657.88 and 2,323.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.88 : 2,323.88 = 2,323.88 : x
2. Step 2: Convert to fraction form
   1,657.88/2,323.88 = 2,323.88/x
3. Step 3: Cross multiply
   1,657.88x = 2,323.88 × 2,323.88
4. Step 4: Simplify right side
   1,657.88x = 5,400,395.02
5. Step 5: Solve for x
   x = 5,400,395.02/1,657.88
6. Step 6: Final answer
   x = 3,257.42