Finding the Third Proportional to 10,686 and 22,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 22,566 = 22,566 : x
2. Step 2: Convert to fraction form
   10,686/22,566 = 22,566/x
3. Step 3: Cross multiply
   10,686x = 22,566 × 22,566
4. Step 4: Simplify right side
   10,686x = 509,224,356
5. Step 5: Solve for x
   x = 509,224,356/10,686
6. Step 6: Final answer
   x = 47,653.41