Finding the Third Proportional to 30,075 and 42,378

Step by Step Solution

1. Step 1: Write the proportion equation
   30,075 : 42,378 = 42,378 : x
2. Step 2: Convert to fraction form
   30,075/42,378 = 42,378/x
3. Step 3: Cross multiply
   30,075x = 42,378 × 42,378
4. Step 4: Simplify right side
   30,075x = 1,795,894,884
5. Step 5: Solve for x
   x = 1,795,894,884/30,075
6. Step 6: Final answer
   x = 59,713.88