Finding the Third Proportional to 16,738 and 25,899

Step by Step Solution

1. Step 1: Write the proportion equation
   16,738 : 25,899 = 25,899 : x
2. Step 2: Convert to fraction form
   16,738/25,899 = 25,899/x
3. Step 3: Cross multiply
   16,738x = 25,899 × 25,899
4. Step 4: Simplify right side
   16,738x = 670,758,201
5. Step 5: Solve for x
   x = 670,758,201/16,738
6. Step 6: Final answer
   x = 40,073.98