Finding the Third Proportional to 9,264 and 13,400

Step by Step Solution

1. Step 1: Write the proportion equation
   9,264 : 13,400 = 13,400 : x
2. Step 2: Convert to fraction form
   9,264/13,400 = 13,400/x
3. Step 3: Cross multiply
   9,264x = 13,400 × 13,400
4. Step 4: Simplify right side
   9,264x = 179,560,000
5. Step 5: Solve for x
   x = 179,560,000/9,264
6. Step 6: Final answer
   x = 19,382.56