Finding the Third Proportional to 9,152 and 16,224

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152 : 16,224 = 16,224 : x
2. Step 2: Convert to fraction form
   9,152/16,224 = 16,224/x
3. Step 3: Cross multiply
   9,152x = 16,224 × 16,224
4. Step 4: Simplify right side
   9,152x = 263,218,176
5. Step 5: Solve for x
   x = 263,218,176/9,152
6. Step 6: Final answer
   x = 28,760.73