Finding the Third Proportional to 17,769 and 23,707

Step by Step Solution

1. Step 1: Write the proportion equation
   17,769 : 23,707 = 23,707 : x
2. Step 2: Convert to fraction form
   17,769/23,707 = 23,707/x
3. Step 3: Cross multiply
   17,769x = 23,707 × 23,707
4. Step 4: Simplify right side
   17,769x = 562,021,849
5. Step 5: Solve for x
   x = 562,021,849/17,769
6. Step 6: Final answer
   x = 31,629.35