Finding the Third Proportional to 9,042 and 9,870

Step by Step Solution

1. Step 1: Write the proportion equation
   9,042 : 9,870 = 9,870 : x
2. Step 2: Convert to fraction form
   9,042/9,870 = 9,870/x
3. Step 3: Cross multiply
   9,042x = 9,870 × 9,870
4. Step 4: Simplify right side
   9,042x = 97,416,900
5. Step 5: Solve for x
   x = 97,416,900/9,042
6. Step 6: Final answer
   x = 10,773.82