Finding the Third Proportional to 35,640 and 76,986

Step by Step Solution

1. Step 1: Write the proportion equation
   35,640 : 76,986 = 76,986 : x
2. Step 2: Convert to fraction form
   35,640/76,986 = 76,986/x
3. Step 3: Cross multiply
   35,640x = 76,986 × 76,986
4. Step 4: Simplify right side
   35,640x = 5,926,844,196
5. Step 5: Solve for x
   x = 5,926,844,196/35,640
6. Step 6: Final answer
   x = 166,297.54