Finding the Third Proportional to 10,196 and 11,492

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 11,492 = 11,492 : x
2. Step 2: Convert to fraction form
   10,196/11,492 = 11,492/x
3. Step 3: Cross multiply
   10,196x = 11,492 × 11,492
4. Step 4: Simplify right side
   10,196x = 132,066,064
5. Step 5: Solve for x
   x = 132,066,064/10,196
6. Step 6: Final answer
   x = 12,952.73