Finding the Third Proportional to 14,536 and 19,404

Step by Step Solution

1. Step 1: Write the proportion equation
   14,536 : 19,404 = 19,404 : x
2. Step 2: Convert to fraction form
   14,536/19,404 = 19,404/x
3. Step 3: Cross multiply
   14,536x = 19,404 × 19,404
4. Step 4: Simplify right side
   14,536x = 376,515,216
5. Step 5: Solve for x
   x = 376,515,216/14,536
6. Step 6: Final answer
   x = 25,902.26