Finding the Third Proportional to 23,165 and 31,905

Step by Step Solution

1. Step 1: Write the proportion equation
   23,165 : 31,905 = 31,905 : x
2. Step 2: Convert to fraction form
   23,165/31,905 = 31,905/x
3. Step 3: Cross multiply
   23,165x = 31,905 × 31,905
4. Step 4: Simplify right side
   23,165x = 1,017,929,025
5. Step 5: Solve for x
   x = 1,017,929,025/23,165
6. Step 6: Final answer
   x = 43,942.54