Finding the Third Proportional to 10,420.29 and 16,164.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.29 : 16,164.36 = 16,164.36 : x
2. Step 2: Convert to fraction form
   10,420.29/16,164.36 = 16,164.36/x
3. Step 3: Cross multiply
   10,420.29x = 16,164.36 × 16,164.36
4. Step 4: Simplify right side
   10,420.29x = 261,286,687.64
5. Step 5: Solve for x
   x = 261,286,687.64/10,420.29
6. Step 6: Final answer
   x = 25,074.81