Finding the Third Proportional to 11,680 and 13,492

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 13,492 = 13,492 : x
2. Step 2: Convert to fraction form
   11,680/13,492 = 13,492/x
3. Step 3: Cross multiply
   11,680x = 13,492 × 13,492
4. Step 4: Simplify right side
   11,680x = 182,034,064
5. Step 5: Solve for x
   x = 182,034,064/11,680
6. Step 6: Final answer
   x = 15,585.11