Finding the Third Proportional to 67,802 and 105,832

Step by Step Solution

1. Step 1: Write the proportion equation
   67,802 : 105,832 = 105,832 : x
2. Step 2: Convert to fraction form
   67,802/105,832 = 105,832/x
3. Step 3: Cross multiply
   67,802x = 105,832 × 105,832
4. Step 4: Simplify right side
   67,802x = 11,200,412,224
5. Step 5: Solve for x
   x = 11,200,412,224/67,802
6. Step 6: Final answer
   x = 165,192.95