Finding the Third Proportional to 11,192 and 12,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,192 : 12,380 = 12,380 : x
2. Step 2: Convert to fraction form
   11,192/12,380 = 12,380/x
3. Step 3: Cross multiply
   11,192x = 12,380 × 12,380
4. Step 4: Simplify right side
   11,192x = 153,264,400
5. Step 5: Solve for x
   x = 153,264,400/11,192
6. Step 6: Final answer
   x = 13,694.10