Finding the Third Proportional to 10,152 and 19,044

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 19,044 = 19,044 : x
2. Step 2: Convert to fraction form
   10,152/19,044 = 19,044/x
3. Step 3: Cross multiply
   10,152x = 19,044 × 19,044
4. Step 4: Simplify right side
   10,152x = 362,673,936
5. Step 5: Solve for x
   x = 362,673,936/10,152
6. Step 6: Final answer
   x = 35,724.38