Finding the Third Proportional to 30,717 and 49,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,717 : 49,153.50 = 49,153.50 : x
2. Step 2: Convert to fraction form
   30,717/49,153.50 = 49,153.50/x
3. Step 3: Cross multiply
   30,717x = 49,153.50 × 49,153.50
4. Step 4: Simplify right side
   30,717x = 2,416,066,562.25
5. Step 5: Solve for x
   x = 2,416,066,562.25/30,717
6. Step 6: Final answer
   x = 78,655.68