Finding the Third Proportional to 10,114 and 21,382

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 21,382 = 21,382 : x
2. Step 2: Convert to fraction form
   10,114/21,382 = 21,382/x
3. Step 3: Cross multiply
   10,114x = 21,382 × 21,382
4. Step 4: Simplify right side
   10,114x = 457,189,924
5. Step 5: Solve for x
   x = 457,189,924/10,114
6. Step 6: Final answer
   x = 45,203.67