Finding the Third Proportional to 23,840 and 31,633

Step by Step Solution

1. Step 1: Write the proportion equation
   23,840 : 31,633 = 31,633 : x
2. Step 2: Convert to fraction form
   23,840/31,633 = 31,633/x
3. Step 3: Cross multiply
   23,840x = 31,633 × 31,633
4. Step 4: Simplify right side
   23,840x = 1,000,646,689
5. Step 5: Solve for x
   x = 1,000,646,689/23,840
6. Step 6: Final answer
   x = 41,973.43