Finding the Third Proportional to 16,112 and 35,493

Step by Step Solution

1. Step 1: Write the proportion equation
   16,112 : 35,493 = 35,493 : x
2. Step 2: Convert to fraction form
   16,112/35,493 = 35,493/x
3. Step 3: Cross multiply
   16,112x = 35,493 × 35,493
4. Step 4: Simplify right side
   16,112x = 1,259,753,049
5. Step 5: Solve for x
   x = 1,259,753,049/16,112
6. Step 6: Final answer
   x = 78,187.25