Finding the Third Proportional to 10,264 and 19,592

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 19,592 = 19,592 : x
2. Step 2: Convert to fraction form
   10,264/19,592 = 19,592/x
3. Step 3: Cross multiply
   10,264x = 19,592 × 19,592
4. Step 4: Simplify right side
   10,264x = 383,846,464
5. Step 5: Solve for x
   x = 383,846,464/10,264
6. Step 6: Final answer
   x = 37,397.36