Finding the Third Proportional to 10,025 and 17,863

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025 : 17,863 = 17,863 : x
2. Step 2: Convert to fraction form
   10,025/17,863 = 17,863/x
3. Step 3: Cross multiply
   10,025x = 17,863 × 17,863
4. Step 4: Simplify right side
   10,025x = 319,086,769
5. Step 5: Solve for x
   x = 319,086,769/10,025
6. Step 6: Final answer
   x = 31,829.10