Finding the Third Proportional to 11,097 and 12,312

Step by Step Solution

1. Step 1: Write the proportion equation
   11,097 : 12,312 = 12,312 : x
2. Step 2: Convert to fraction form
   11,097/12,312 = 12,312/x
3. Step 3: Cross multiply
   11,097x = 12,312 × 12,312
4. Step 4: Simplify right side
   11,097x = 151,585,344
5. Step 5: Solve for x
   x = 151,585,344/11,097
6. Step 6: Final answer
   x = 13,660.03