Finding the Third Proportional to 16,256 and 35,614

Step by Step Solution

1. Step 1: Write the proportion equation
   16,256 : 35,614 = 35,614 : x
2. Step 2: Convert to fraction form
   16,256/35,614 = 35,614/x
3. Step 3: Cross multiply
   16,256x = 35,614 × 35,614
4. Step 4: Simplify right side
   16,256x = 1,268,356,996
5. Step 5: Solve for x
   x = 1,268,356,996/16,256
6. Step 6: Final answer
   x = 78,023.93