Finding the Third Proportional to 35,530 and 77,036

Step by Step Solution

1. Step 1: Write the proportion equation
   35,530 : 77,036 = 77,036 : x
2. Step 2: Convert to fraction form
   35,530/77,036 = 77,036/x
3. Step 3: Cross multiply
   35,530x = 77,036 × 77,036
4. Step 4: Simplify right side
   35,530x = 5,934,545,296
5. Step 5: Solve for x
   x = 5,934,545,296/35,530
6. Step 6: Final answer
   x = 167,029.14