Finding the Third Proportional to 32,821 and 49,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,821 : 49,219.50 = 49,219.50 : x
2. Step 2: Convert to fraction form
   32,821/49,219.50 = 49,219.50/x
3. Step 3: Cross multiply
   32,821x = 49,219.50 × 49,219.50
4. Step 4: Simplify right side
   32,821x = 2,422,559,180.25
5. Step 5: Solve for x
   x = 2,422,559,180.25/32,821
6. Step 6: Final answer
   x = 73,811.25