Finding the Third Proportional to 23,782 and 56,242

Step by Step Solution

1. Step 1: Write the proportion equation
   23,782 : 56,242 = 56,242 : x
2. Step 2: Convert to fraction form
   23,782/56,242 = 56,242/x
3. Step 3: Cross multiply
   23,782x = 56,242 × 56,242
4. Step 4: Simplify right side
   23,782x = 3,163,162,564
5. Step 5: Solve for x
   x = 3,163,162,564/23,782
6. Step 6: Final answer
   x = 133,006.58