Finding the Third Proportional to 13,813 and 22,105

Step by Step Solution

1. Step 1: Write the proportion equation
   13,813 : 22,105 = 22,105 : x
2. Step 2: Convert to fraction form
   13,813/22,105 = 22,105/x
3. Step 3: Cross multiply
   13,813x = 22,105 × 22,105
4. Step 4: Simplify right side
   13,813x = 488,631,025
5. Step 5: Solve for x
   x = 488,631,025/13,813
6. Step 6: Final answer
   x = 35,374.72