Finding the Third Proportional to 2,942 and 4,818

Step by Step Solution

1. Step 1: Write the proportion equation
   2,942 : 4,818 = 4,818 : x
2. Step 2: Convert to fraction form
   2,942/4,818 = 4,818/x
3. Step 3: Cross multiply
   2,942x = 4,818 × 4,818
4. Step 4: Simplify right side
   2,942x = 23,213,124
5. Step 5: Solve for x
   x = 23,213,124/2,942
6. Step 6: Final answer
   x = 7,890.25