Finding the Third Proportional to 16,166 and 25,023

Step by Step Solution

1. Step 1: Write the proportion equation
   16,166 : 25,023 = 25,023 : x
2. Step 2: Convert to fraction form
   16,166/25,023 = 25,023/x
3. Step 3: Cross multiply
   16,166x = 25,023 × 25,023
4. Step 4: Simplify right side
   16,166x = 626,150,529
5. Step 5: Solve for x
   x = 626,150,529/16,166
6. Step 6: Final answer
   x = 38,732.56