Finding the Third Proportional to 17,744 and 23,688

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 23,688 = 23,688 : x
2. Step 2: Convert to fraction form
   17,744/23,688 = 23,688/x
3. Step 3: Cross multiply
   17,744x = 23,688 × 23,688
4. Step 4: Simplify right side
   17,744x = 561,121,344
5. Step 5: Solve for x
   x = 561,121,344/17,744
6. Step 6: Final answer
   x = 31,623.16