Finding the Third Proportional to 30,006 and 42,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,006 : 42,745.50 = 42,745.50 : x
2. Step 2: Convert to fraction form
   30,006/42,745.50 = 42,745.50/x
3. Step 3: Cross multiply
   30,006x = 42,745.50 × 42,745.50
4. Step 4: Simplify right side
   30,006x = 1,827,177,770.25
5. Step 5: Solve for x
   x = 1,827,177,770.25/30,006
6. Step 6: Final answer
   x = 60,893.75