Finding the Third Proportional to 1,037.81 and 2,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.81 : 2,189.25 = 2,189.25 : x
2. Step 2: Convert to fraction form
   1,037.81/2,189.25 = 2,189.25/x
3. Step 3: Cross multiply
   1,037.81x = 2,189.25 × 2,189.25
4. Step 4: Simplify right side
   1,037.81x = 4,792,815.56
5. Step 5: Solve for x
   x = 4,792,815.56/1,037.81
6. Step 6: Final answer
   x = 4,618.19