Finding the Third Proportional to 16,416 and 35,184

Step by Step Solution

1. Step 1: Write the proportion equation
   16,416 : 35,184 = 35,184 : x
2. Step 2: Convert to fraction form
   16,416/35,184 = 35,184/x
3. Step 3: Cross multiply
   16,416x = 35,184 × 35,184
4. Step 4: Simplify right side
   16,416x = 1,237,913,856
5. Step 5: Solve for x
   x = 1,237,913,856/16,416
6. Step 6: Final answer
   x = 75,408.98