Finding the Third Proportional to 1,158.05 and 2,457.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.05 : 2,457.84 = 2,457.84 : x
2. Step 2: Convert to fraction form
   1,158.05/2,457.84 = 2,457.84/x
3. Step 3: Cross multiply
   1,158.05x = 2,457.84 × 2,457.84
4. Step 4: Simplify right side
   1,158.05x = 6,040,995.90
5. Step 5: Solve for x
   x = 6,040,995.90/1,158.05
6. Step 6: Final answer
   x = 5,216.54