Finding the Third Proportional to 10,278 and 21,736

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 21,736 = 21,736 : x
2. Step 2: Convert to fraction form
   10,278/21,736 = 21,736/x
3. Step 3: Cross multiply
   10,278x = 21,736 × 21,736
4. Step 4: Simplify right side
   10,278x = 472,453,696
5. Step 5: Solve for x
   x = 472,453,696/10,278
6. Step 6: Final answer
   x = 45,967.47