Finding the Third Proportional to 17,309 and 37,823

Step by Step Solution

1. Step 1: Write the proportion equation
   17,309 : 37,823 = 37,823 : x
2. Step 2: Convert to fraction form
   17,309/37,823 = 37,823/x
3. Step 3: Cross multiply
   17,309x = 37,823 × 37,823
4. Step 4: Simplify right side
   17,309x = 1,430,579,329
5. Step 5: Solve for x
   x = 1,430,579,329/17,309
6. Step 6: Final answer
   x = 82,649.45