Finding the Third Proportional to 32,591 and 50,383

Step by Step Solution

1. Step 1: Write the proportion equation
   32,591 : 50,383 = 50,383 : x
2. Step 2: Convert to fraction form
   32,591/50,383 = 50,383/x
3. Step 3: Cross multiply
   32,591x = 50,383 × 50,383
4. Step 4: Simplify right side
   32,591x = 2,538,446,689
5. Step 5: Solve for x
   x = 2,538,446,689/32,591
6. Step 6: Final answer
   x = 77,887.97