Finding the Third Proportional to 12,123 and 19,278

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 19,278 = 19,278 : x
2. Step 2: Convert to fraction form
   12,123/19,278 = 19,278/x
3. Step 3: Cross multiply
   12,123x = 19,278 × 19,278
4. Step 4: Simplify right side
   12,123x = 371,641,284
5. Step 5: Solve for x
   x = 371,641,284/12,123
6. Step 6: Final answer
   x = 30,655.88