Finding the Third Proportional to 16,401 and 25,213

Step by Step Solution

1. Step 1: Write the proportion equation
   16,401 : 25,213 = 25,213 : x
2. Step 2: Convert to fraction form
   16,401/25,213 = 25,213/x
3. Step 3: Cross multiply
   16,401x = 25,213 × 25,213
4. Step 4: Simplify right side
   16,401x = 635,695,369
5. Step 5: Solve for x
   x = 635,695,369/16,401
6. Step 6: Final answer
   x = 38,759.55