Finding the Third Proportional to 66,870 and 105,795

Step by Step Solution

1. Step 1: Write the proportion equation
   66,870 : 105,795 = 105,795 : x
2. Step 2: Convert to fraction form
   66,870/105,795 = 105,795/x
3. Step 3: Cross multiply
   66,870x = 105,795 × 105,795
4. Step 4: Simplify right side
   66,870x = 11,192,582,025
5. Step 5: Solve for x
   x = 11,192,582,025/66,870
6. Step 6: Final answer
   x = 167,378.23