Finding the Third Proportional to 30,843 and 67,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,843 : 67,747.50 = 67,747.50 : x
2. Step 2: Convert to fraction form
   30,843/67,747.50 = 67,747.50/x
3. Step 3: Cross multiply
   30,843x = 67,747.50 × 67,747.50
4. Step 4: Simplify right side
   30,843x = 4,589,723,756.25
5. Step 5: Solve for x
   x = 4,589,723,756.25/30,843
6. Step 6: Final answer
   x = 148,809.25