Finding the Third Proportional to 16,120 and 35,408

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 35,408 = 35,408 : x
2. Step 2: Convert to fraction form
   16,120/35,408 = 35,408/x
3. Step 3: Cross multiply
   16,120x = 35,408 × 35,408
4. Step 4: Simplify right side
   16,120x = 1,253,726,464
5. Step 5: Solve for x
   x = 1,253,726,464/16,120
6. Step 6: Final answer
   x = 77,774.59