Finding the Third Proportional to 17,617 and 25,723

Step by Step Solution

1. Step 1: Write the proportion equation
   17,617 : 25,723 = 25,723 : x
2. Step 2: Convert to fraction form
   17,617/25,723 = 25,723/x
3. Step 3: Cross multiply
   17,617x = 25,723 × 25,723
4. Step 4: Simplify right side
   17,617x = 661,672,729
5. Step 5: Solve for x
   x = 661,672,729/17,617
6. Step 6: Final answer
   x = 37,558.76