Finding the Third Proportional to 10,144 and 13,032

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 13,032 = 13,032 : x
2. Step 2: Convert to fraction form
   10,144/13,032 = 13,032/x
3. Step 3: Cross multiply
   10,144x = 13,032 × 13,032
4. Step 4: Simplify right side
   10,144x = 169,833,024
5. Step 5: Solve for x
   x = 169,833,024/10,144
6. Step 6: Final answer
   x = 16,742.21