Finding the Third Proportional to 35,844 and 77,086

Step by Step Solution

1. Step 1: Write the proportion equation
   35,844 : 77,086 = 77,086 : x
2. Step 2: Convert to fraction form
   35,844/77,086 = 77,086/x
3. Step 3: Cross multiply
   35,844x = 77,086 × 77,086
4. Step 4: Simplify right side
   35,844x = 5,942,251,396
5. Step 5: Solve for x
   x = 5,942,251,396/35,844
6. Step 6: Final answer
   x = 165,780.92