Finding the Third Proportional to 10,180 and 21,454

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 21,454 = 21,454 : x
2. Step 2: Convert to fraction form
   10,180/21,454 = 21,454/x
3. Step 3: Cross multiply
   10,180x = 21,454 × 21,454
4. Step 4: Simplify right side
   10,180x = 460,274,116
5. Step 5: Solve for x
   x = 460,274,116/10,180
6. Step 6: Final answer
   x = 45,213.57