Finding the Third Proportional to 32,580 and 50,816

Step by Step Solution

1. Step 1: Write the proportion equation
   32,580 : 50,816 = 50,816 : x
2. Step 2: Convert to fraction form
   32,580/50,816 = 50,816/x
3. Step 3: Cross multiply
   32,580x = 50,816 × 50,816
4. Step 4: Simplify right side
   32,580x = 2,582,265,856
5. Step 5: Solve for x
   x = 2,582,265,856/32,580
6. Step 6: Final answer
   x = 79,259.23