Finding the Third Proportional to 11,680 and 17,861

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 17,861 = 17,861 : x
2. Step 2: Convert to fraction form
   11,680/17,861 = 17,861/x
3. Step 3: Cross multiply
   11,680x = 17,861 × 17,861
4. Step 4: Simplify right side
   11,680x = 319,015,321
5. Step 5: Solve for x
   x = 319,015,321/11,680
6. Step 6: Final answer
   x = 27,312.96