Finding the Third Proportional to 10,396 and 16,140

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 16,140 = 16,140 : x
2. Step 2: Convert to fraction form
   10,396/16,140 = 16,140/x
3. Step 3: Cross multiply
   10,396x = 16,140 × 16,140
4. Step 4: Simplify right side
   10,396x = 260,499,600
5. Step 5: Solve for x
   x = 260,499,600/10,396
6. Step 6: Final answer
   x = 25,057.68