Finding the Third Proportional to 30,082 and 64,978

Step by Step Solution

1. Step 1: Write the proportion equation
   30,082 : 64,978 = 64,978 : x
2. Step 2: Convert to fraction form
   30,082/64,978 = 64,978/x
3. Step 3: Cross multiply
   30,082x = 64,978 × 64,978
4. Step 4: Simplify right side
   30,082x = 4,222,140,484
5. Step 5: Solve for x
   x = 4,222,140,484/30,082
6. Step 6: Final answer
   x = 140,354.38