Finding the Third Proportional to 1,037.60 and 1,642.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.60 : 1,642.78 = 1,642.78 : x
2. Step 2: Convert to fraction form
   1,037.60/1,642.78 = 1,642.78/x
3. Step 3: Cross multiply
   1,037.60x = 1,642.78 × 1,642.78
4. Step 4: Simplify right side
   1,037.60x = 2,698,730.24
5. Step 5: Solve for x
   x = 2,698,730.24/1,037.60
6. Step 6: Final answer
   x = 2,600.93