Finding the Third Proportional to 1,037.97 and 2,162.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.97 : 2,162.44 = 2,162.44 : x
2. Step 2: Convert to fraction form
   1,037.97/2,162.44 = 2,162.44/x
3. Step 3: Cross multiply
   1,037.97x = 2,162.44 × 2,162.44
4. Step 4: Simplify right side
   1,037.97x = 4,676,142.28
5. Step 5: Solve for x
   x = 4,676,142.28/1,037.97
6. Step 6: Final answer
   x = 4,505.08