Finding the Third Proportional to 10,084 and 21,464

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 21,464 = 21,464 : x
2. Step 2: Convert to fraction form
   10,084/21,464 = 21,464/x
3. Step 3: Cross multiply
   10,084x = 21,464 × 21,464
4. Step 4: Simplify right side
   10,084x = 460,703,296
5. Step 5: Solve for x
   x = 460,703,296/10,084
6. Step 6: Final answer
   x = 45,686.56