Finding the Third Proportional to 10,122 and 17,796

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 17,796 = 17,796 : x
2. Step 2: Convert to fraction form
   10,122/17,796 = 17,796/x
3. Step 3: Cross multiply
   10,122x = 17,796 × 17,796
4. Step 4: Simplify right side
   10,122x = 316,697,616
5. Step 5: Solve for x
   x = 316,697,616/10,122
6. Step 6: Final answer
   x = 31,288.05