Finding the Third Proportional to 2,296 and 3,506

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 3,506 = 3,506 : x
2. Step 2: Convert to fraction form
   2,296/3,506 = 3,506/x
3. Step 3: Cross multiply
   2,296x = 3,506 × 3,506
4. Step 4: Simplify right side
   2,296x = 12,292,036
5. Step 5: Solve for x
   x = 12,292,036/2,296
6. Step 6: Final answer
   x = 5,353.67