Finding the Third Proportional to 16,071 and 35,355

Step by Step Solution

1. Step 1: Write the proportion equation
   16,071 : 35,355 = 35,355 : x
2. Step 2: Convert to fraction form
   16,071/35,355 = 35,355/x
3. Step 3: Cross multiply
   16,071x = 35,355 × 35,355
4. Step 4: Simplify right side
   16,071x = 1,249,976,025
5. Step 5: Solve for x
   x = 1,249,976,025/16,071
6. Step 6: Final answer
   x = 77,778.36