Finding the Third Proportional to 32,464.50 and 49,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,464.50 : 49,738.50 = 49,738.50 : x
2. Step 2: Convert to fraction form
   32,464.50/49,738.50 = 49,738.50/x
3. Step 3: Cross multiply
   32,464.50x = 49,738.50 × 49,738.50
4. Step 4: Simplify right side
   32,464.50x = 2,473,918,382.25
5. Step 5: Solve for x
   x = 2,473,918,382.25/32,464.50
6. Step 6: Final answer
   x = 76,203.80