Finding the Third Proportional to 16,271 and 35,525

Step by Step Solution

1. Step 1: Write the proportion equation
   16,271 : 35,525 = 35,525 : x
2. Step 2: Convert to fraction form
   16,271/35,525 = 35,525/x
3. Step 3: Cross multiply
   16,271x = 35,525 × 35,525
4. Step 4: Simplify right side
   16,271x = 1,262,025,625
5. Step 5: Solve for x
   x = 1,262,025,625/16,271
6. Step 6: Final answer
   x = 77,562.88