Finding the Third Proportional to 13,858 and 21,755

Step by Step Solution

1. Step 1: Write the proportion equation
   13,858 : 21,755 = 21,755 : x
2. Step 2: Convert to fraction form
   13,858/21,755 = 21,755/x
3. Step 3: Cross multiply
   13,858x = 21,755 × 21,755
4. Step 4: Simplify right side
   13,858x = 473,280,025
5. Step 5: Solve for x
   x = 473,280,025/13,858
6. Step 6: Final answer
   x = 34,152.12