Finding the Third Proportional to 2,376 and 5,034

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376 : 5,034 = 5,034 : x
2. Step 2: Convert to fraction form
   2,376/5,034 = 5,034/x
3. Step 3: Cross multiply
   2,376x = 5,034 × 5,034
4. Step 4: Simplify right side
   2,376x = 25,341,156
5. Step 5: Solve for x
   x = 25,341,156/2,376
6. Step 6: Final answer
   x = 10,665.47