Finding the Third Proportional to 11,814 and 19,338

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814 : 19,338 = 19,338 : x
2. Step 2: Convert to fraction form
   11,814/19,338 = 19,338/x
3. Step 3: Cross multiply
   11,814x = 19,338 × 19,338
4. Step 4: Simplify right side
   11,814x = 373,958,244
5. Step 5: Solve for x
   x = 373,958,244/11,814
6. Step 6: Final answer
   x = 31,653.82