Finding the Third Proportional to 21,462 and 45,822

Step by Step Solution

1. Step 1: Write the proportion equation
   21,462 : 45,822 = 45,822 : x
2. Step 2: Convert to fraction form
   21,462/45,822 = 45,822/x
3. Step 3: Cross multiply
   21,462x = 45,822 × 45,822
4. Step 4: Simplify right side
   21,462x = 2,099,655,684
5. Step 5: Solve for x
   x = 2,099,655,684/21,462
6. Step 6: Final answer
   x = 97,831.32