Finding the Third Proportional to 1,397.88 and 2,165.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.88 : 2,165.48 = 2,165.48 : x
2. Step 2: Convert to fraction form
   1,397.88/2,165.48 = 2,165.48/x
3. Step 3: Cross multiply
   1,397.88x = 2,165.48 × 2,165.48
4. Step 4: Simplify right side
   1,397.88x = 4,689,322.58
5. Step 5: Solve for x
   x = 4,689,322.58/1,397.88
6. Step 6: Final answer
   x = 3,354.59