Finding the Third Proportional to 17,662 and 27,277

Step by Step Solution

1. Step 1: Write the proportion equation
   17,662 : 27,277 = 27,277 : x
2. Step 2: Convert to fraction form
   17,662/27,277 = 27,277/x
3. Step 3: Cross multiply
   17,662x = 27,277 × 27,277
4. Step 4: Simplify right side
   17,662x = 744,034,729
5. Step 5: Solve for x
   x = 744,034,729/17,662
6. Step 6: Final answer
   x = 42,126.30