Finding the Third Proportional to 16,098 and 25,723

Step by Step Solution

1. Step 1: Write the proportion equation
   16,098 : 25,723 = 25,723 : x
2. Step 2: Convert to fraction form
   16,098/25,723 = 25,723/x
3. Step 3: Cross multiply
   16,098x = 25,723 × 25,723
4. Step 4: Simplify right side
   16,098x = 661,672,729
5. Step 5: Solve for x
   x = 661,672,729/16,098
6. Step 6: Final answer
   x = 41,102.79