Finding the Third Proportional to 13,706 and 21,790

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706 : 21,790 = 21,790 : x
2. Step 2: Convert to fraction form
   13,706/21,790 = 21,790/x
3. Step 3: Cross multiply
   13,706x = 21,790 × 21,790
4. Step 4: Simplify right side
   13,706x = 474,804,100
5. Step 5: Solve for x
   x = 474,804,100/13,706
6. Step 6: Final answer
   x = 34,642.06