Finding the Third Proportional to 13,819 and 21,253

Step by Step Solution

1. Step 1: Write the proportion equation
   13,819 : 21,253 = 21,253 : x
2. Step 2: Convert to fraction form
   13,819/21,253 = 21,253/x
3. Step 3: Cross multiply
   13,819x = 21,253 × 21,253
4. Step 4: Simplify right side
   13,819x = 451,690,009
5. Step 5: Solve for x
   x = 451,690,009/13,819
6. Step 6: Final answer
   x = 32,686.16