Finding the Third Proportional to 17,872 and 19,600

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872 : 19,600 = 19,600 : x
2. Step 2: Convert to fraction form
   17,872/19,600 = 19,600/x
3. Step 3: Cross multiply
   17,872x = 19,600 × 19,600
4. Step 4: Simplify right side
   17,872x = 384,160,000
5. Step 5: Solve for x
   x = 384,160,000/17,872
6. Step 6: Final answer
   x = 21,495.08