Finding the Third Proportional to 16,464 and 35,200

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 35,200 = 35,200 : x
2. Step 2: Convert to fraction form
   16,464/35,200 = 35,200/x
3. Step 3: Cross multiply
   16,464x = 35,200 × 35,200
4. Step 4: Simplify right side
   16,464x = 1,239,040,000
5. Step 5: Solve for x
   x = 1,239,040,000/16,464
6. Step 6: Final answer
   x = 75,257.53