Finding the Third Proportional to 17,651 and 37,669

Step by Step Solution

1. Step 1: Write the proportion equation
   17,651 : 37,669 = 37,669 : x
2. Step 2: Convert to fraction form
   17,651/37,669 = 37,669/x
3. Step 3: Cross multiply
   17,651x = 37,669 × 37,669
4. Step 4: Simplify right side
   17,651x = 1,418,953,561
5. Step 5: Solve for x
   x = 1,418,953,561/17,651
6. Step 6: Final answer
   x = 80,389.41