Finding the Third Proportional to 16,116 and 35,184

Step by Step Solution

1. Step 1: Write the proportion equation
   16,116 : 35,184 = 35,184 : x
2. Step 2: Convert to fraction form
   16,116/35,184 = 35,184/x
3. Step 3: Cross multiply
   16,116x = 35,184 × 35,184
4. Step 4: Simplify right side
   16,116x = 1,237,913,856
5. Step 5: Solve for x
   x = 1,237,913,856/16,116
6. Step 6: Final answer
   x = 76,812.72