Finding the Third Proportional to 13,724 and 21,152

Step by Step Solution

1. Step 1: Write the proportion equation
   13,724 : 21,152 = 21,152 : x
2. Step 2: Convert to fraction form
   13,724/21,152 = 21,152/x
3. Step 3: Cross multiply
   13,724x = 21,152 × 21,152
4. Step 4: Simplify right side
   13,724x = 447,407,104
5. Step 5: Solve for x
   x = 447,407,104/13,724
6. Step 6: Final answer
   x = 32,600.34