Finding the Third Proportional to 1,157.25 and 2,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.25 : 2,443.75 = 2,443.75 : x
2. Step 2: Convert to fraction form
   1,157.25/2,443.75 = 2,443.75/x
3. Step 3: Cross multiply
   1,157.25x = 2,443.75 × 2,443.75
4. Step 4: Simplify right side
   1,157.25x = 5,971,914.06
5. Step 5: Solve for x
   x = 5,971,914.06/1,157.25
6. Step 6: Final answer
   x = 5,160.44