Finding the Third Proportional to 13,280 and 17,704

Step by Step Solution

1. Step 1: Write the proportion equation
   13,280 : 17,704 = 17,704 : x
2. Step 2: Convert to fraction form
   13,280/17,704 = 17,704/x
3. Step 3: Cross multiply
   13,280x = 17,704 × 17,704
4. Step 4: Simplify right side
   13,280x = 313,431,616
5. Step 5: Solve for x
   x = 313,431,616/13,280
6. Step 6: Final answer
   x = 23,601.78