Finding the Third Proportional to 30,976.50 and 67,884

Step by Step Solution

1. Step 1: Write the proportion equation
   30,976.50 : 67,884 = 67,884 : x
2. Step 2: Convert to fraction form
   30,976.50/67,884 = 67,884/x
3. Step 3: Cross multiply
   30,976.50x = 67,884 × 67,884
4. Step 4: Simplify right side
   30,976.50x = 4,608,237,456
5. Step 5: Solve for x
   x = 4,608,237,456/30,976.50
6. Step 6: Final answer
   x = 148,765.60