Finding the Third Proportional to 10,686 and 22,602

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 22,602 = 22,602 : x
2. Step 2: Convert to fraction form
   10,686/22,602 = 22,602/x
3. Step 3: Cross multiply
   10,686x = 22,602 × 22,602
4. Step 4: Simplify right side
   10,686x = 510,850,404
5. Step 5: Solve for x
   x = 510,850,404/10,686
6. Step 6: Final answer
   x = 47,805.58