Finding the Third Proportional to 32,826 and 50,454

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 50,454 = 50,454 : x
2. Step 2: Convert to fraction form
   32,826/50,454 = 50,454/x
3. Step 3: Cross multiply
   32,826x = 50,454 × 50,454
4. Step 4: Simplify right side
   32,826x = 2,545,606,116
5. Step 5: Solve for x
   x = 2,545,606,116/32,826
6. Step 6: Final answer
   x = 77,548.47