Finding the Third Proportional to 6,842 and 10,070

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842 : 10,070 = 10,070 : x
2. Step 2: Convert to fraction form
   6,842/10,070 = 10,070/x
3. Step 3: Cross multiply
   6,842x = 10,070 × 10,070
4. Step 4: Simplify right side
   6,842x = 101,404,900
5. Step 5: Solve for x
   x = 101,404,900/6,842
6. Step 6: Final answer
   x = 14,820.94