Finding the Third Proportional to 32,736 and 50,382

Step by Step Solution

1. Step 1: Write the proportion equation
   32,736 : 50,382 = 50,382 : x
2. Step 2: Convert to fraction form
   32,736/50,382 = 50,382/x
3. Step 3: Cross multiply
   32,736x = 50,382 × 50,382
4. Step 4: Simplify right side
   32,736x = 2,538,345,924
5. Step 5: Solve for x
   x = 2,538,345,924/32,736
6. Step 6: Final answer
   x = 77,539.89