Finding the Third Proportional to 30,642.75 and 42,198.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,642.75 : 42,198.75 = 42,198.75 : x
2. Step 2: Convert to fraction form
   30,642.75/42,198.75 = 42,198.75/x
3. Step 3: Cross multiply
   30,642.75x = 42,198.75 × 42,198.75
4. Step 4: Simplify right side
   30,642.75x = 1,780,734,501.56
5. Step 5: Solve for x
   x = 1,780,734,501.56/30,642.75
6. Step 6: Final answer
   x = 58,112.75