Finding the Third Proportional to 21,688 and 31,706

Step by Step Solution

1. Step 1: Write the proportion equation
   21,688 : 31,706 = 31,706 : x
2. Step 2: Convert to fraction form
   21,688/31,706 = 31,706/x
3. Step 3: Cross multiply
   21,688x = 31,706 × 31,706
4. Step 4: Simplify right side
   21,688x = 1,005,270,436
5. Step 5: Solve for x
   x = 1,005,270,436/21,688
6. Step 6: Final answer
   x = 46,351.46