Finding the Third Proportional to 11,300 and 15,294

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 15,294 = 15,294 : x
2. Step 2: Convert to fraction form
   11,300/15,294 = 15,294/x
3. Step 3: Cross multiply
   11,300x = 15,294 × 15,294
4. Step 4: Simplify right side
   11,300x = 233,906,436
5. Step 5: Solve for x
   x = 233,906,436/11,300
6. Step 6: Final answer
   x = 20,699.68