Finding the Third Proportional to 13,872 and 21,208

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872 : 21,208 = 21,208 : x
2. Step 2: Convert to fraction form
   13,872/21,208 = 21,208/x
3. Step 3: Cross multiply
   13,872x = 21,208 × 21,208
4. Step 4: Simplify right side
   13,872x = 449,779,264
5. Step 5: Solve for x
   x = 449,779,264/13,872
6. Step 6: Final answer
   x = 32,423.53