Finding the Third Proportional to 13,870 and 19,458

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870 : 19,458 = 19,458 : x
2. Step 2: Convert to fraction form
   13,870/19,458 = 19,458/x
3. Step 3: Cross multiply
   13,870x = 19,458 × 19,458
4. Step 4: Simplify right side
   13,870x = 378,613,764
5. Step 5: Solve for x
   x = 378,613,764/13,870
6. Step 6: Final answer
   x = 27,297.32