Finding the Third Proportional to 34,760 and 82,036

Step by Step Solution

1. Step 1: Write the proportion equation
   34,760 : 82,036 = 82,036 : x
2. Step 2: Convert to fraction form
   34,760/82,036 = 82,036/x
3. Step 3: Cross multiply
   34,760x = 82,036 × 82,036
4. Step 4: Simplify right side
   34,760x = 6,729,905,296
5. Step 5: Solve for x
   x = 6,729,905,296/34,760
6. Step 6: Final answer
   x = 193,610.62