Finding the Third Proportional to 6,106 and 7,010

Step by Step Solution

1. Step 1: Write the proportion equation
   6,106 : 7,010 = 7,010 : x
2. Step 2: Convert to fraction form
   6,106/7,010 = 7,010/x
3. Step 3: Cross multiply
   6,106x = 7,010 × 7,010
4. Step 4: Simplify right side
   6,106x = 49,140,100
5. Step 5: Solve for x
   x = 49,140,100/6,106
6. Step 6: Final answer
   x = 8,047.84