Finding the Third Proportional to 16,009 and 35,132

Step by Step Solution

1. Step 1: Write the proportion equation
   16,009 : 35,132 = 35,132 : x
2. Step 2: Convert to fraction form
   16,009/35,132 = 35,132/x
3. Step 3: Cross multiply
   16,009x = 35,132 × 35,132
4. Step 4: Simplify right side
   16,009x = 1,234,257,424
5. Step 5: Solve for x
   x = 1,234,257,424/16,009
6. Step 6: Final answer
   x = 77,097.72