Finding the Third Proportional to 10,782 and 23,211

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 23,211 = 23,211 : x
2. Step 2: Convert to fraction form
   10,782/23,211 = 23,211/x
3. Step 3: Cross multiply
   10,782x = 23,211 × 23,211
4. Step 4: Simplify right side
   10,782x = 538,750,521
5. Step 5: Solve for x
   x = 538,750,521/10,782
6. Step 6: Final answer
   x = 49,967.59