Finding the Third Proportional to 21,945 and 51,774

Step by Step Solution

1. Step 1: Write the proportion equation
   21,945 : 51,774 = 51,774 : x
2. Step 2: Convert to fraction form
   21,945/51,774 = 51,774/x
3. Step 3: Cross multiply
   21,945x = 51,774 × 51,774
4. Step 4: Simplify right side
   21,945x = 2,680,547,076
5. Step 5: Solve for x
   x = 2,680,547,076/21,945
6. Step 6: Final answer
   x = 122,148.42