Finding the Third Proportional to 11,556 and 12,492

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 12,492 = 12,492 : x
2. Step 2: Convert to fraction form
   11,556/12,492 = 12,492/x
3. Step 3: Cross multiply
   11,556x = 12,492 × 12,492
4. Step 4: Simplify right side
   11,556x = 156,050,064
5. Step 5: Solve for x
   x = 156,050,064/11,556
6. Step 6: Final answer
   x = 13,503.81