Finding the Third Proportional to 20,580 and 30,782

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580 : 30,782 = 30,782 : x
2. Step 2: Convert to fraction form
   20,580/30,782 = 30,782/x
3. Step 3: Cross multiply
   20,580x = 30,782 × 30,782
4. Step 4: Simplify right side
   20,580x = 947,531,524
5. Step 5: Solve for x
   x = 947,531,524/20,580
6. Step 6: Final answer
   x = 46,041.38