Finding the Third Proportional to 13,564 and 21,260

Step by Step Solution

1. Step 1: Write the proportion equation
   13,564 : 21,260 = 21,260 : x
2. Step 2: Convert to fraction form
   13,564/21,260 = 21,260/x
3. Step 3: Cross multiply
   13,564x = 21,260 × 21,260
4. Step 4: Simplify right side
   13,564x = 451,987,600
5. Step 5: Solve for x
   x = 451,987,600/13,564
6. Step 6: Final answer
   x = 33,322.59