Finding the Third Proportional to 13,828 and 21,354

Step by Step Solution

1. Step 1: Write the proportion equation
   13,828 : 21,354 = 21,354 : x
2. Step 2: Convert to fraction form
   13,828/21,354 = 21,354/x
3. Step 3: Cross multiply
   13,828x = 21,354 × 21,354
4. Step 4: Simplify right side
   13,828x = 455,993,316
5. Step 5: Solve for x
   x = 455,993,316/13,828
6. Step 6: Final answer
   x = 32,976.09