Finding the Third Proportional to 16,960 and 37,376

Step by Step Solution

1. Step 1: Write the proportion equation
   16,960 : 37,376 = 37,376 : x
2. Step 2: Convert to fraction form
   16,960/37,376 = 37,376/x
3. Step 3: Cross multiply
   16,960x = 37,376 × 37,376
4. Step 4: Simplify right side
   16,960x = 1,396,965,376
5. Step 5: Solve for x
   x = 1,396,965,376/16,960
6. Step 6: Final answer
   x = 82,368.24