Finding the Third Proportional to 30,082 and 45,798

Step by Step Solution

1. Step 1: Write the proportion equation
   30,082 : 45,798 = 45,798 : x
2. Step 2: Convert to fraction form
   30,082/45,798 = 45,798/x
3. Step 3: Cross multiply
   30,082x = 45,798 × 45,798
4. Step 4: Simplify right side
   30,082x = 2,097,456,804
5. Step 5: Solve for x
   x = 2,097,456,804/30,082
6. Step 6: Final answer
   x = 69,724.65