Finding the Third Proportional to 2,106 and 3,146

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,146 = 3,146 : x
2. Step 2: Convert to fraction form
   2,106/3,146 = 3,146/x
3. Step 3: Cross multiply
   2,106x = 3,146 × 3,146
4. Step 4: Simplify right side
   2,106x = 9,897,316
5. Step 5: Solve for x
   x = 9,897,316/2,106
6. Step 6: Final answer
   x = 4,699.58