Finding the Third Proportional to 13,106 and 21,099

Step by Step Solution

1. Step 1: Write the proportion equation
   13,106 : 21,099 = 21,099 : x
2. Step 2: Convert to fraction form
   13,106/21,099 = 21,099/x
3. Step 3: Cross multiply
   13,106x = 21,099 × 21,099
4. Step 4: Simplify right side
   13,106x = 445,167,801
5. Step 5: Solve for x
   x = 445,167,801/13,106
6. Step 6: Final answer
   x = 33,966.72