Finding the Third Proportional to 16,965 and 37,278

Step by Step Solution

1. Step 1: Write the proportion equation
   16,965 : 37,278 = 37,278 : x
2. Step 2: Convert to fraction form
   16,965/37,278 = 37,278/x
3. Step 3: Cross multiply
   16,965x = 37,278 × 37,278
4. Step 4: Simplify right side
   16,965x = 1,389,649,284
5. Step 5: Solve for x
   x = 1,389,649,284/16,965
6. Step 6: Final answer
   x = 81,912.72