Finding the Third Proportional to 11,680 and 17,735

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 17,735 = 17,735 : x
2. Step 2: Convert to fraction form
   11,680/17,735 = 17,735/x
3. Step 3: Cross multiply
   11,680x = 17,735 × 17,735
4. Step 4: Simplify right side
   11,680x = 314,530,225
5. Step 5: Solve for x
   x = 314,530,225/11,680
6. Step 6: Final answer
   x = 26,928.96