Finding the Third Proportional to 14,688 and 28,640

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 28,640 = 28,640 : x
2. Step 2: Convert to fraction form
   14,688/28,640 = 28,640/x
3. Step 3: Cross multiply
   14,688x = 28,640 × 28,640
4. Step 4: Simplify right side
   14,688x = 820,249,600
5. Step 5: Solve for x
   x = 820,249,600/14,688
6. Step 6: Final answer
   x = 55,844.88