Finding the Third Proportional to 10,402 and 22,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402 : 22,084 = 22,084 : x
2. Step 2: Convert to fraction form
   10,402/22,084 = 22,084/x
3. Step 3: Cross multiply
   10,402x = 22,084 × 22,084
4. Step 4: Simplify right side
   10,402x = 487,703,056
5. Step 5: Solve for x
   x = 487,703,056/10,402
6. Step 6: Final answer
   x = 46,885.51