Finding the Third Proportional to 10,282 and 19,052

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 19,052 = 19,052 : x
2. Step 2: Convert to fraction form
   10,282/19,052 = 19,052/x
3. Step 3: Cross multiply
   10,282x = 19,052 × 19,052
4. Step 4: Simplify right side
   10,282x = 362,978,704
5. Step 5: Solve for x
   x = 362,978,704/10,282
6. Step 6: Final answer
   x = 35,302.34