Finding the Third Proportional to 16,536 and 25,191

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 25,191 = 25,191 : x
2. Step 2: Convert to fraction form
   16,536/25,191 = 25,191/x
3. Step 3: Cross multiply
   16,536x = 25,191 × 25,191
4. Step 4: Simplify right side
   16,536x = 634,586,481
5. Step 5: Solve for x
   x = 634,586,481/16,536
6. Step 6: Final answer
   x = 38,376.06