Finding the Third Proportional to 13,696 and 28,640

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 28,640 = 28,640 : x
2. Step 2: Convert to fraction form
   13,696/28,640 = 28,640/x
3. Step 3: Cross multiply
   13,696x = 28,640 × 28,640
4. Step 4: Simplify right side
   13,696x = 820,249,600
5. Step 5: Solve for x
   x = 820,249,600/13,696
6. Step 6: Final answer
   x = 59,889.72