Finding the Third Proportional to 17,206 and 37,692

Step by Step Solution

1. Step 1: Write the proportion equation
   17,206 : 37,692 = 37,692 : x
2. Step 2: Convert to fraction form
   17,206/37,692 = 37,692/x
3. Step 3: Cross multiply
   17,206x = 37,692 × 37,692
4. Step 4: Simplify right side
   17,206x = 1,420,686,864
5. Step 5: Solve for x
   x = 1,420,686,864/17,206
6. Step 6: Final answer
   x = 82,569.27