Finding the Third Proportional to 1,178 and 2,428

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178 : 2,428 = 2,428 : x
2. Step 2: Convert to fraction form
   1,178/2,428 = 2,428/x
3. Step 3: Cross multiply
   1,178x = 2,428 × 2,428
4. Step 4: Simplify right side
   1,178x = 5,895,184
5. Step 5: Solve for x
   x = 5,895,184/1,178
6. Step 6: Final answer
   x = 5,004.40