Finding the Third Proportional to 10,278 and 22,461

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278 : 22,461 = 22,461 : x
2. Step 2: Convert to fraction form
   10,278/22,461 = 22,461/x
3. Step 3: Cross multiply
   10,278x = 22,461 × 22,461
4. Step 4: Simplify right side
   10,278x = 504,496,521
5. Step 5: Solve for x
   x = 504,496,521/10,278
6. Step 6: Final answer
   x = 49,085.09