Finding the Third Proportional to 10,848 and 14,032

Step by Step Solution

1. Step 1: Write the proportion equation
   10,848 : 14,032 = 14,032 : x
2. Step 2: Convert to fraction form
   10,848/14,032 = 14,032/x
3. Step 3: Cross multiply
   10,848x = 14,032 × 14,032
4. Step 4: Simplify right side
   10,848x = 196,897,024
5. Step 5: Solve for x
   x = 196,897,024/10,848
6. Step 6: Final answer
   x = 18,150.54