Finding the Third Proportional to 16,116 and 35,302

Step by Step Solution

1. Step 1: Write the proportion equation
   16,116 : 35,302 = 35,302 : x
2. Step 2: Convert to fraction form
   16,116/35,302 = 35,302/x
3. Step 3: Cross multiply
   16,116x = 35,302 × 35,302
4. Step 4: Simplify right side
   16,116x = 1,246,231,204
5. Step 5: Solve for x
   x = 1,246,231,204/16,116
6. Step 6: Final answer
   x = 77,328.82