Finding the Third Proportional to 21,632 and 31,736

Step by Step Solution

1. Step 1: Write the proportion equation
   21,632 : 31,736 = 31,736 : x
2. Step 2: Convert to fraction form
   21,632/31,736 = 31,736/x
3. Step 3: Cross multiply
   21,632x = 31,736 × 31,736
4. Step 4: Simplify right side
   21,632x = 1,007,173,696
5. Step 5: Solve for x
   x = 1,007,173,696/21,632
6. Step 6: Final answer
   x = 46,559.43