Finding the Third Proportional to 5,144 and 12,368

Step by Step Solution

1. Step 1: Write the proportion equation
   5,144 : 12,368 = 12,368 : x
2. Step 2: Convert to fraction form
   5,144/12,368 = 12,368/x
3. Step 3: Cross multiply
   5,144x = 12,368 × 12,368
4. Step 4: Simplify right side
   5,144x = 152,967,424
5. Step 5: Solve for x
   x = 152,967,424/5,144
6. Step 6: Final answer
   x = 29,737.06