Finding the Third Proportional to 11,782 and 25,274

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782 : 25,274 = 25,274 : x
2. Step 2: Convert to fraction form
   11,782/25,274 = 25,274/x
3. Step 3: Cross multiply
   11,782x = 25,274 × 25,274
4. Step 4: Simplify right side
   11,782x = 638,775,076
5. Step 5: Solve for x
   x = 638,775,076/11,782
6. Step 6: Final answer
   x = 54,216.18