Finding the Third Proportional to 11,600 and 17,736

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 17,736 = 17,736 : x
2. Step 2: Convert to fraction form
   11,600/17,736 = 17,736/x
3. Step 3: Cross multiply
   11,600x = 17,736 × 17,736
4. Step 4: Simplify right side
   11,600x = 314,565,696
5. Step 5: Solve for x
   x = 314,565,696/11,600
6. Step 6: Final answer
   x = 27,117.73