Finding the Third Proportional to 16,106 and 35,288

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 35,288 = 35,288 : x
2. Step 2: Convert to fraction form
   16,106/35,288 = 35,288/x
3. Step 3: Cross multiply
   16,106x = 35,288 × 35,288
4. Step 4: Simplify right side
   16,106x = 1,245,242,944
5. Step 5: Solve for x
   x = 1,245,242,944/16,106
6. Step 6: Final answer
   x = 77,315.47