Finding the Third Proportional to 17,617 and 23,277

Step by Step Solution

1. Step 1: Write the proportion equation
   17,617 : 23,277 = 23,277 : x
2. Step 2: Convert to fraction form
   17,617/23,277 = 23,277/x
3. Step 3: Cross multiply
   17,617x = 23,277 × 23,277
4. Step 4: Simplify right side
   17,617x = 541,818,729
5. Step 5: Solve for x
   x = 541,818,729/17,617
6. Step 6: Final answer
   x = 30,755.45