Finding the Third Proportional to 65,812 and 105,986

Step by Step Solution

1. Step 1: Write the proportion equation
   65,812 : 105,986 = 105,986 : x
2. Step 2: Convert to fraction form
   65,812/105,986 = 105,986/x
3. Step 3: Cross multiply
   65,812x = 105,986 × 105,986
4. Step 4: Simplify right side
   65,812x = 11,233,032,196
5. Step 5: Solve for x
   x = 11,233,032,196/65,812
6. Step 6: Final answer
   x = 170,683.65