Finding the Third Proportional to 9,688 and 14,494

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 14,494 = 14,494 : x
2. Step 2: Convert to fraction form
   9,688/14,494 = 14,494/x
3. Step 3: Cross multiply
   9,688x = 14,494 × 14,494
4. Step 4: Simplify right side
   9,688x = 210,076,036
5. Step 5: Solve for x
   x = 210,076,036/9,688
6. Step 6: Final answer
   x = 21,684.15