Finding the Third Proportional to 30,180 and 46,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,180 : 46,648.50 = 46,648.50 : x
2. Step 2: Convert to fraction form
   30,180/46,648.50 = 46,648.50/x
3. Step 3: Cross multiply
   30,180x = 46,648.50 × 46,648.50
4. Step 4: Simplify right side
   30,180x = 2,176,082,552.25
5. Step 5: Solve for x
   x = 2,176,082,552.25/30,180
6. Step 6: Final answer
   x = 72,103.46