Finding the Third Proportional to 23,006 and 31,431

Step by Step Solution

1. Step 1: Write the proportion equation
   23,006 : 31,431 = 31,431 : x
2. Step 2: Convert to fraction form
   23,006/31,431 = 31,431/x
3. Step 3: Cross multiply
   23,006x = 31,431 × 31,431
4. Step 4: Simplify right side
   23,006x = 987,907,761
5. Step 5: Solve for x
   x = 987,907,761/23,006
6. Step 6: Final answer
   x = 42,941.31