Finding the Third Proportional to 13,680 and 15,616

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 15,616 = 15,616 : x
2. Step 2: Convert to fraction form
   13,680/15,616 = 15,616/x
3. Step 3: Cross multiply
   13,680x = 15,616 × 15,616
4. Step 4: Simplify right side
   13,680x = 243,859,456
5. Step 5: Solve for x
   x = 243,859,456/13,680
6. Step 6: Final answer
   x = 17,825.98