Finding the Third Proportional to 13,874 and 21,458

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874 : 21,458 = 21,458 : x
2. Step 2: Convert to fraction form
   13,874/21,458 = 21,458/x
3. Step 3: Cross multiply
   13,874x = 21,458 × 21,458
4. Step 4: Simplify right side
   13,874x = 460,445,764
5. Step 5: Solve for x
   x = 460,445,764/13,874
6. Step 6: Final answer
   x = 33,187.67