Finding the Third Proportional to 2,898 and 7,146

Step by Step Solution

1. Step 1: Write the proportion equation
   2,898 : 7,146 = 7,146 : x
2. Step 2: Convert to fraction form
   2,898/7,146 = 7,146/x
3. Step 3: Cross multiply
   2,898x = 7,146 × 7,146
4. Step 4: Simplify right side
   2,898x = 51,065,316
5. Step 5: Solve for x
   x = 51,065,316/2,898
6. Step 6: Final answer
   x = 17,620.88