Finding the Third Proportional to 1,158 and 2,412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158 : 2,412 = 2,412 : x
2. Step 2: Convert to fraction form
   1,158/2,412 = 2,412/x
3. Step 3: Cross multiply
   1,158x = 2,412 × 2,412
4. Step 4: Simplify right side
   1,158x = 5,817,744
5. Step 5: Solve for x
   x = 5,817,744/1,158
6. Step 6: Final answer
   x = 5,023.96