Finding the Third Proportional to 1,166.58 and 2,441.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.58 : 2,441.20 = 2,441.20 : x
2. Step 2: Convert to fraction form
   1,166.58/2,441.20 = 2,441.20/x
3. Step 3: Cross multiply
   1,166.58x = 2,441.20 × 2,441.20
4. Step 4: Simplify right side
   1,166.58x = 5,959,472.70
5. Step 5: Solve for x
   x = 5,959,472.70/1,166.58
6. Step 6: Final answer
   x = 5,108.51