Finding the Third Proportional to 32,774 and 49,433

Step by Step Solution

1. Step 1: Write the proportion equation
   32,774 : 49,433 = 49,433 : x
2. Step 2: Convert to fraction form
   32,774/49,433 = 49,433/x
3. Step 3: Cross multiply
   32,774x = 49,433 × 49,433
4. Step 4: Simplify right side
   32,774x = 2,443,621,489
5. Step 5: Solve for x
   x = 2,443,621,489/32,774
6. Step 6: Final answer
   x = 74,559.76