Finding the Third Proportional to 10,172 and 13,224

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 13,224 = 13,224 : x
2. Step 2: Convert to fraction form
   10,172/13,224 = 13,224/x
3. Step 3: Cross multiply
   10,172x = 13,224 × 13,224
4. Step 4: Simplify right side
   10,172x = 174,874,176
5. Step 5: Solve for x
   x = 174,874,176/10,172
6. Step 6: Final answer
   x = 17,191.72