Finding the Third Proportional to 32,729 and 51,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,729 : 51,199.50 = 51,199.50 : x
2. Step 2: Convert to fraction form
   32,729/51,199.50 = 51,199.50/x
3. Step 3: Cross multiply
   32,729x = 51,199.50 × 51,199.50
4. Step 4: Simplify right side
   32,729x = 2,621,388,800.25
5. Step 5: Solve for x
   x = 2,621,388,800.25/32,729
6. Step 6: Final answer
   x = 80,093.76