Finding the Third Proportional to 10,642 and 16,036

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 16,036 = 16,036 : x
2. Step 2: Convert to fraction form
   10,642/16,036 = 16,036/x
3. Step 3: Cross multiply
   10,642x = 16,036 × 16,036
4. Step 4: Simplify right side
   10,642x = 257,153,296
5. Step 5: Solve for x
   x = 257,153,296/10,642
6. Step 6: Final answer
   x = 24,164.00