Finding the Third Proportional to 10,819 and 22,381

Step by Step Solution

1. Step 1: Write the proportion equation
   10,819 : 22,381 = 22,381 : x
2. Step 2: Convert to fraction form
   10,819/22,381 = 22,381/x
3. Step 3: Cross multiply
   10,819x = 22,381 × 22,381
4. Step 4: Simplify right side
   10,819x = 500,909,161
5. Step 5: Solve for x
   x = 500,909,161/10,819
6. Step 6: Final answer
   x = 46,299.03