Finding the Third Proportional to 32,826 and 49,627

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 49,627 = 49,627 : x
2. Step 2: Convert to fraction form
   32,826/49,627 = 49,627/x
3. Step 3: Cross multiply
   32,826x = 49,627 × 49,627
4. Step 4: Simplify right side
   32,826x = 2,462,839,129
5. Step 5: Solve for x
   x = 2,462,839,129/32,826
6. Step 6: Final answer
   x = 75,027.09