Finding the Third Proportional to 1,155.75 and 1,579.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.75 : 1,579.25 = 1,579.25 : x
2. Step 2: Convert to fraction form
   1,155.75/1,579.25 = 1,579.25/x
3. Step 3: Cross multiply
   1,155.75x = 1,579.25 × 1,579.25
4. Step 4: Simplify right side
   1,155.75x = 2,494,030.56
5. Step 5: Solve for x
   x = 2,494,030.56/1,155.75
6. Step 6: Final answer
   x = 2,157.93