Finding the Third Proportional to 32,783 and 49,338

Step by Step Solution

1. Step 1: Write the proportion equation
   32,783 : 49,338 = 49,338 : x
2. Step 2: Convert to fraction form
   32,783/49,338 = 49,338/x
3. Step 3: Cross multiply
   32,783x = 49,338 × 49,338
4. Step 4: Simplify right side
   32,783x = 2,434,238,244
5. Step 5: Solve for x
   x = 2,434,238,244/32,783
6. Step 6: Final answer
   x = 74,253.07