Finding the Third Proportional to 13,410 and 21,223

Step by Step Solution

1. Step 1: Write the proportion equation
   13,410 : 21,223 = 21,223 : x
2. Step 2: Convert to fraction form
   13,410/21,223 = 21,223/x
3. Step 3: Cross multiply
   13,410x = 21,223 × 21,223
4. Step 4: Simplify right side
   13,410x = 450,415,729
5. Step 5: Solve for x
   x = 450,415,729/13,410
6. Step 6: Final answer
   x = 33,588.05