Finding the Third Proportional to 10,782 and 23,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 23,830 = 23,830 : x
2. Step 2: Convert to fraction form
   10,782/23,830 = 23,830/x
3. Step 3: Cross multiply
   10,782x = 23,830 × 23,830
4. Step 4: Simplify right side
   10,782x = 567,868,900
5. Step 5: Solve for x
   x = 567,868,900/10,782
6. Step 6: Final answer
   x = 52,668.23