Finding the Third Proportional to 16,296 and 25,164

Step by Step Solution

1. Step 1: Write the proportion equation
   16,296 : 25,164 = 25,164 : x
2. Step 2: Convert to fraction form
   16,296/25,164 = 25,164/x
3. Step 3: Cross multiply
   16,296x = 25,164 × 25,164
4. Step 4: Simplify right side
   16,296x = 633,226,896
5. Step 5: Solve for x
   x = 633,226,896/16,296
6. Step 6: Final answer
   x = 38,857.81