Finding the Third Proportional to 32,596 and 50,842

Step by Step Solution

1. Step 1: Write the proportion equation
   32,596 : 50,842 = 50,842 : x
2. Step 2: Convert to fraction form
   32,596/50,842 = 50,842/x
3. Step 3: Cross multiply
   32,596x = 50,842 × 50,842
4. Step 4: Simplify right side
   32,596x = 2,584,908,964
5. Step 5: Solve for x
   x = 2,584,908,964/32,596
6. Step 6: Final answer
   x = 79,301.42