Finding the Third Proportional to 10,421 and 22,819

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421 : 22,819 = 22,819 : x
2. Step 2: Convert to fraction form
   10,421/22,819 = 22,819/x
3. Step 3: Cross multiply
   10,421x = 22,819 × 22,819
4. Step 4: Simplify right side
   10,421x = 520,706,761
5. Step 5: Solve for x
   x = 520,706,761/10,421
6. Step 6: Final answer
   x = 49,967.06