Finding the Third Proportional to 10,110 and 17,736

Step by Step Solution

1. Step 1: Write the proportion equation
   10,110 : 17,736 = 17,736 : x
2. Step 2: Convert to fraction form
   10,110/17,736 = 17,736/x
3. Step 3: Cross multiply
   10,110x = 17,736 × 17,736
4. Step 4: Simplify right side
   10,110x = 314,565,696
5. Step 5: Solve for x
   x = 314,565,696/10,110
6. Step 6: Final answer
   x = 31,114.31