Finding the Third Proportional to 6,144 and 13,434

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 13,434 = 13,434 : x
2. Step 2: Convert to fraction form
   6,144/13,434 = 13,434/x
3. Step 3: Cross multiply
   6,144x = 13,434 × 13,434
4. Step 4: Simplify right side
   6,144x = 180,472,356
5. Step 5: Solve for x
   x = 180,472,356/6,144
6. Step 6: Final answer
   x = 29,373.76