Finding the Third Proportional to 31,432 and 41,963

Step by Step Solution

1. Step 1: Write the proportion equation
   31,432 : 41,963 = 41,963 : x
2. Step 2: Convert to fraction form
   31,432/41,963 = 41,963/x
3. Step 3: Cross multiply
   31,432x = 41,963 × 41,963
4. Step 4: Simplify right side
   31,432x = 1,760,893,369
5. Step 5: Solve for x
   x = 1,760,893,369/31,432
6. Step 6: Final answer
   x = 56,022.31