Finding the Third Proportional to 9,536 and 21,280

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 21,280 = 21,280 : x
2. Step 2: Convert to fraction form
   9,536/21,280 = 21,280/x
3. Step 3: Cross multiply
   9,536x = 21,280 × 21,280
4. Step 4: Simplify right side
   9,536x = 452,838,400
5. Step 5: Solve for x
   x = 452,838,400/9,536
6. Step 6: Final answer
   x = 47,487.25