Finding the Third Proportional to 13,706 and 20,521

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706 : 20,521 = 20,521 : x
2. Step 2: Convert to fraction form
   13,706/20,521 = 20,521/x
3. Step 3: Cross multiply
   13,706x = 20,521 × 20,521
4. Step 4: Simplify right side
   13,706x = 421,111,441
5. Step 5: Solve for x
   x = 421,111,441/13,706
6. Step 6: Final answer
   x = 30,724.61