Finding the Third Proportional to 30,723 and 49,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,723 : 49,171.50 = 49,171.50 : x
2. Step 2: Convert to fraction form
   30,723/49,171.50 = 49,171.50/x
3. Step 3: Cross multiply
   30,723x = 49,171.50 × 49,171.50
4. Step 4: Simplify right side
   30,723x = 2,417,836,412.25
5. Step 5: Solve for x
   x = 2,417,836,412.25/30,723
6. Step 6: Final answer
   x = 78,697.93