Finding the Third Proportional to 10,194 and 21,484

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 21,484 = 21,484 : x
2. Step 2: Convert to fraction form
   10,194/21,484 = 21,484/x
3. Step 3: Cross multiply
   10,194x = 21,484 × 21,484
4. Step 4: Simplify right side
   10,194x = 461,562,256
5. Step 5: Solve for x
   x = 461,562,256/10,194
6. Step 6: Final answer
   x = 45,277.84