Finding the Third Proportional to 9,688 and 14,280

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 14,280 = 14,280 : x
2. Step 2: Convert to fraction form
   9,688/14,280 = 14,280/x
3. Step 3: Cross multiply
   9,688x = 14,280 × 14,280
4. Step 4: Simplify right side
   9,688x = 203,918,400
5. Step 5: Solve for x
   x = 203,918,400/9,688
6. Step 6: Final answer
   x = 21,048.55