Finding the Third Proportional to 11,300 and 15,680

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 15,680 = 15,680 : x
2. Step 2: Convert to fraction form
   11,300/15,680 = 15,680/x
3. Step 3: Cross multiply
   11,300x = 15,680 × 15,680
4. Step 4: Simplify right side
   11,300x = 245,862,400
5. Step 5: Solve for x
   x = 245,862,400/11,300
6. Step 6: Final answer
   x = 21,757.73