Finding the Third Proportional to 23,686 and 31,600

Step by Step Solution

1. Step 1: Write the proportion equation
   23,686 : 31,600 = 31,600 : x
2. Step 2: Convert to fraction form
   23,686/31,600 = 31,600/x
3. Step 3: Cross multiply
   23,686x = 31,600 × 31,600
4. Step 4: Simplify right side
   23,686x = 998,560,000
5. Step 5: Solve for x
   x = 998,560,000/23,686
6. Step 6: Final answer
   x = 42,158.24