Finding the Third Proportional to 16,077 and 25,036

Step by Step Solution

1. Step 1: Write the proportion equation
   16,077 : 25,036 = 25,036 : x
2. Step 2: Convert to fraction form
   16,077/25,036 = 25,036/x
3. Step 3: Cross multiply
   16,077x = 25,036 × 25,036
4. Step 4: Simplify right side
   16,077x = 626,801,296
5. Step 5: Solve for x
   x = 626,801,296/16,077
6. Step 6: Final answer
   x = 38,987.45