Finding the Third Proportional to 67,564 and 105,086

Step by Step Solution

1. Step 1: Write the proportion equation
   67,564 : 105,086 = 105,086 : x
2. Step 2: Convert to fraction form
   67,564/105,086 = 105,086/x
3. Step 3: Cross multiply
   67,564x = 105,086 × 105,086
4. Step 4: Simplify right side
   67,564x = 11,043,067,396
5. Step 5: Solve for x
   x = 11,043,067,396/67,564
6. Step 6: Final answer
   x = 163,446.03