Finding the Third Proportional to 16,508 and 35,320

Step by Step Solution

1. Step 1: Write the proportion equation
   16,508 : 35,320 = 35,320 : x
2. Step 2: Convert to fraction form
   16,508/35,320 = 35,320/x
3. Step 3: Cross multiply
   16,508x = 35,320 × 35,320
4. Step 4: Simplify right side
   16,508x = 1,247,502,400
5. Step 5: Solve for x
   x = 1,247,502,400/16,508
6. Step 6: Final answer
   x = 75,569.57