Finding the Third Proportional to 2,762 and 5,146

Step by Step Solution

1. Step 1: Write the proportion equation
   2,762 : 5,146 = 5,146 : x
2. Step 2: Convert to fraction form
   2,762/5,146 = 5,146/x
3. Step 3: Cross multiply
   2,762x = 5,146 × 5,146
4. Step 4: Simplify right side
   2,762x = 26,481,316
5. Step 5: Solve for x
   x = 26,481,316/2,762
6. Step 6: Final answer
   x = 9,587.73