Finding the Third Proportional to 8,132 and 8,870

Step by Step Solution

1. Step 1: Write the proportion equation
   8,132 : 8,870 = 8,870 : x
2. Step 2: Convert to fraction form
   8,132/8,870 = 8,870/x
3. Step 3: Cross multiply
   8,132x = 8,870 × 8,870
4. Step 4: Simplify right side
   8,132x = 78,676,900
5. Step 5: Solve for x
   x = 78,676,900/8,132
6. Step 6: Final answer
   x = 9,674.98