Finding the Third Proportional to 2,242 and 2,654

Step by Step Solution

1. Step 1: Write the proportion equation
   2,242 : 2,654 = 2,654 : x
2. Step 2: Convert to fraction form
   2,242/2,654 = 2,654/x
3. Step 3: Cross multiply
   2,242x = 2,654 × 2,654
4. Step 4: Simplify right side
   2,242x = 7,043,716
5. Step 5: Solve for x
   x = 7,043,716/2,242
6. Step 6: Final answer
   x = 3,141.71