Finding the Third Proportional to 9,856 and 15,280

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856 : 15,280 = 15,280 : x
2. Step 2: Convert to fraction form
   9,856/15,280 = 15,280/x
3. Step 3: Cross multiply
   9,856x = 15,280 × 15,280
4. Step 4: Simplify right side
   9,856x = 233,478,400
5. Step 5: Solve for x
   x = 233,478,400/9,856
6. Step 6: Final answer
   x = 23,688.96