Finding the Third Proportional to 32,826 and 72,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 72,034.50 = 72,034.50 : x
2. Step 2: Convert to fraction form
   32,826/72,034.50 = 72,034.50/x
3. Step 3: Cross multiply
   32,826x = 72,034.50 × 72,034.50
4. Step 4: Simplify right side
   32,826x = 5,188,969,190.25
5. Step 5: Solve for x
   x = 5,188,969,190.25/32,826
6. Step 6: Final answer
   x = 158,074.98