Finding the Third Proportional to 12,468 and 19,140

Step by Step Solution

1. Step 1: Write the proportion equation
   12,468 : 19,140 = 19,140 : x
2. Step 2: Convert to fraction form
   12,468/19,140 = 19,140/x
3. Step 3: Cross multiply
   12,468x = 19,140 × 19,140
4. Step 4: Simplify right side
   12,468x = 366,339,600
5. Step 5: Solve for x
   x = 366,339,600/12,468
6. Step 6: Final answer
   x = 29,382.39