Finding the Third Proportional to 32,826 and 49,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 49,627.50 = 49,627.50 : x
2. Step 2: Convert to fraction form
   32,826/49,627.50 = 49,627.50/x
3. Step 3: Cross multiply
   32,826x = 49,627.50 × 49,627.50
4. Step 4: Simplify right side
   32,826x = 2,462,888,756.25
5. Step 5: Solve for x
   x = 2,462,888,756.25/32,826
6. Step 6: Final answer
   x = 75,028.60