Finding the Third Proportional to 67,513 and 106,766

Step by Step Solution

1. Step 1: Write the proportion equation
   67,513 : 106,766 = 106,766 : x
2. Step 2: Convert to fraction form
   67,513/106,766 = 106,766/x
3. Step 3: Cross multiply
   67,513x = 106,766 × 106,766
4. Step 4: Simplify right side
   67,513x = 11,398,978,756
5. Step 5: Solve for x
   x = 11,398,978,756/67,513
6. Step 6: Final answer
   x = 168,841.24