Finding the Third Proportional to 10,180 and 21,899

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 21,899 = 21,899 : x
2. Step 2: Convert to fraction form
   10,180/21,899 = 21,899/x
3. Step 3: Cross multiply
   10,180x = 21,899 × 21,899
4. Step 4: Simplify right side
   10,180x = 479,566,201
5. Step 5: Solve for x
   x = 479,566,201/10,180
6. Step 6: Final answer
   x = 47,108.66