Finding the Third Proportional to 10,181 and 21,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181 : 21,288 = 21,288 : x
2. Step 2: Convert to fraction form
   10,181/21,288 = 21,288/x
3. Step 3: Cross multiply
   10,181x = 21,288 × 21,288
4. Step 4: Simplify right side
   10,181x = 453,178,944
5. Step 5: Solve for x
   x = 453,178,944/10,181
6. Step 6: Final answer
   x = 44,512.22