Finding the Third Proportional to 13,624 and 21,164

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 21,164 = 21,164 : x
2. Step 2: Convert to fraction form
   13,624/21,164 = 21,164/x
3. Step 3: Cross multiply
   13,624x = 21,164 × 21,164
4. Step 4: Simplify right side
   13,624x = 447,914,896
5. Step 5: Solve for x
   x = 447,914,896/13,624
6. Step 6: Final answer
   x = 32,876.90