Finding the Third Proportional to 11,172 and 15,616

Step by Step Solution

1. Step 1: Write the proportion equation
   11,172 : 15,616 = 15,616 : x
2. Step 2: Convert to fraction form
   11,172/15,616 = 15,616/x
3. Step 3: Cross multiply
   11,172x = 15,616 × 15,616
4. Step 4: Simplify right side
   11,172x = 243,859,456
5. Step 5: Solve for x
   x = 243,859,456/11,172
6. Step 6: Final answer
   x = 21,827.74