Finding the Third Proportional to 35,586 and 77,016

Step by Step Solution

1. Step 1: Write the proportion equation
   35,586 : 77,016 = 77,016 : x
2. Step 2: Convert to fraction form
   35,586/77,016 = 77,016/x
3. Step 3: Cross multiply
   35,586x = 77,016 × 77,016
4. Step 4: Simplify right side
   35,586x = 5,931,464,256
5. Step 5: Solve for x
   x = 5,931,464,256/35,586
6. Step 6: Final answer
   x = 166,679.71