Finding the Third Proportional to 10,616 and 17,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616 : 17,380 = 17,380 : x
2. Step 2: Convert to fraction form
   10,616/17,380 = 17,380/x
3. Step 3: Cross multiply
   10,616x = 17,380 × 17,380
4. Step 4: Simplify right side
   10,616x = 302,064,400
5. Step 5: Solve for x
   x = 302,064,400/10,616
6. Step 6: Final answer
   x = 28,453.69