Finding the Third Proportional to 30,288 and 45,978

Step by Step Solution

1. Step 1: Write the proportion equation
   30,288 : 45,978 = 45,978 : x
2. Step 2: Convert to fraction form
   30,288/45,978 = 45,978/x
3. Step 3: Cross multiply
   30,288x = 45,978 × 45,978
4. Step 4: Simplify right side
   30,288x = 2,113,976,484
5. Step 5: Solve for x
   x = 2,113,976,484/30,288
6. Step 6: Final answer
   x = 69,795.84