Finding the Third Proportional to 23,702 and 31,805

Step by Step Solution

1. Step 1: Write the proportion equation
   23,702 : 31,805 = 31,805 : x
2. Step 2: Convert to fraction form
   23,702/31,805 = 31,805/x
3. Step 3: Cross multiply
   23,702x = 31,805 × 31,805
4. Step 4: Simplify right side
   23,702x = 1,011,558,025
5. Step 5: Solve for x
   x = 1,011,558,025/23,702
6. Step 6: Final answer
   x = 42,678.17