Finding the Third Proportional to 10,026 and 17,622

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 17,622 = 17,622 : x
2. Step 2: Convert to fraction form
   10,026/17,622 = 17,622/x
3. Step 3: Cross multiply
   10,026x = 17,622 × 17,622
4. Step 4: Simplify right side
   10,026x = 310,534,884
5. Step 5: Solve for x
   x = 310,534,884/10,026
6. Step 6: Final answer
   x = 30,972.96