Finding the Third Proportional to 15,340 and 21,706

Step by Step Solution

1. Step 1: Write the proportion equation
   15,340 : 21,706 = 21,706 : x
2. Step 2: Convert to fraction form
   15,340/21,706 = 21,706/x
3. Step 3: Cross multiply
   15,340x = 21,706 × 21,706
4. Step 4: Simplify right side
   15,340x = 471,150,436
5. Step 5: Solve for x
   x = 471,150,436/15,340
6. Step 6: Final answer
   x = 30,713.85