Finding the Third Proportional to 12,213 and 20,738

Step by Step Solution

1. Step 1: Write the proportion equation
   12,213 : 20,738 = 20,738 : x
2. Step 2: Convert to fraction form
   12,213/20,738 = 20,738/x
3. Step 3: Cross multiply
   12,213x = 20,738 × 20,738
4. Step 4: Simplify right side
   12,213x = 430,064,644
5. Step 5: Solve for x
   x = 430,064,644/12,213
6. Step 6: Final answer
   x = 35,213.68