Finding the Third Proportional to 6,144 and 14,032

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 14,032 = 14,032 : x
2. Step 2: Convert to fraction form
   6,144/14,032 = 14,032/x
3. Step 3: Cross multiply
   6,144x = 14,032 × 14,032
4. Step 4: Simplify right side
   6,144x = 196,897,024
5. Step 5: Solve for x
   x = 196,897,024/6,144
6. Step 6: Final answer
   x = 32,047.04