Finding the Third Proportional to 16,271 and 35,575

Step by Step Solution

1. Step 1: Write the proportion equation
   16,271 : 35,575 = 35,575 : x
2. Step 2: Convert to fraction form
   16,271/35,575 = 35,575/x
3. Step 3: Cross multiply
   16,271x = 35,575 × 35,575
4. Step 4: Simplify right side
   16,271x = 1,265,580,625
5. Step 5: Solve for x
   x = 1,265,580,625/16,271
6. Step 6: Final answer
   x = 77,781.37