Finding the Third Proportional to 7,872 and 15,870

Step by Step Solution

1. Step 1: Write the proportion equation
   7,872 : 15,870 = 15,870 : x
2. Step 2: Convert to fraction form
   7,872/15,870 = 15,870/x
3. Step 3: Cross multiply
   7,872x = 15,870 × 15,870
4. Step 4: Simplify right side
   7,872x = 251,856,900
5. Step 5: Solve for x
   x = 251,856,900/7,872
6. Step 6: Final answer
   x = 31,994.02