Finding the Third Proportional to 10,086 and 13,272

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 13,272 = 13,272 : x
2. Step 2: Convert to fraction form
   10,086/13,272 = 13,272/x
3. Step 3: Cross multiply
   10,086x = 13,272 × 13,272
4. Step 4: Simplify right side
   10,086x = 176,145,984
5. Step 5: Solve for x
   x = 176,145,984/10,086
6. Step 6: Final answer
   x = 17,464.40