Finding the Third Proportional to 10,032 and 16,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032 : 16,156 = 16,156 : x
2. Step 2: Convert to fraction form
   10,032/16,156 = 16,156/x
3. Step 3: Cross multiply
   10,032x = 16,156 × 16,156
4. Step 4: Simplify right side
   10,032x = 261,016,336
5. Step 5: Solve for x
   x = 261,016,336/10,032
6. Step 6: Final answer
   x = 26,018.37