Finding the Third Proportional to 2,942 and 4,654

Step by Step Solution

1. Step 1: Write the proportion equation
   2,942 : 4,654 = 4,654 : x
2. Step 2: Convert to fraction form
   2,942/4,654 = 4,654/x
3. Step 3: Cross multiply
   2,942x = 4,654 × 4,654
4. Step 4: Simplify right side
   2,942x = 21,659,716
5. Step 5: Solve for x
   x = 21,659,716/2,942
6. Step 6: Final answer
   x = 7,362.24