Finding the Third Proportional to 16,569 and 35,505

Step by Step Solution

1. Step 1: Write the proportion equation
   16,569 : 35,505 = 35,505 : x
2. Step 2: Convert to fraction form
   16,569/35,505 = 35,505/x
3. Step 3: Cross multiply
   16,569x = 35,505 × 35,505
4. Step 4: Simplify right side
   16,569x = 1,260,605,025
5. Step 5: Solve for x
   x = 1,260,605,025/16,569
6. Step 6: Final answer
   x = 76,082.14