Finding the Third Proportional to 32,768.50 and 49,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,768.50 : 49,424.50 = 49,424.50 : x
2. Step 2: Convert to fraction form
   32,768.50/49,424.50 = 49,424.50/x
3. Step 3: Cross multiply
   32,768.50x = 49,424.50 × 49,424.50
4. Step 4: Simplify right side
   32,768.50x = 2,442,781,200.25
5. Step 5: Solve for x
   x = 2,442,781,200.25/32,768.50
6. Step 6: Final answer
   x = 74,546.63