Finding the Third Proportional to 14,688 and 17,685

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 17,685 = 17,685 : x
2. Step 2: Convert to fraction form
   14,688/17,685 = 17,685/x
3. Step 3: Cross multiply
   14,688x = 17,685 × 17,685
4. Step 4: Simplify right side
   14,688x = 312,759,225
5. Step 5: Solve for x
   x = 312,759,225/14,688
6. Step 6: Final answer
   x = 21,293.52