Finding the Third Proportional to 16,091 and 25,267

Step by Step Solution

1. Step 1: Write the proportion equation
   16,091 : 25,267 = 25,267 : x
2. Step 2: Convert to fraction form
   16,091/25,267 = 25,267/x
3. Step 3: Cross multiply
   16,091x = 25,267 × 25,267
4. Step 4: Simplify right side
   16,091x = 638,421,289
5. Step 5: Solve for x
   x = 638,421,289/16,091
6. Step 6: Final answer
   x = 39,675.68