Finding the Third Proportional to 17,906 and 27,669

Step by Step Solution

1. Step 1: Write the proportion equation
   17,906 : 27,669 = 27,669 : x
2. Step 2: Convert to fraction form
   17,906/27,669 = 27,669/x
3. Step 3: Cross multiply
   17,906x = 27,669 × 27,669
4. Step 4: Simplify right side
   17,906x = 765,573,561
5. Step 5: Solve for x
   x = 765,573,561/17,906
6. Step 6: Final answer
   x = 42,755.14