Finding the Third Proportional to 34,018 and 51,774

Step by Step Solution

1. Step 1: Write the proportion equation
   34,018 : 51,774 = 51,774 : x
2. Step 2: Convert to fraction form
   34,018/51,774 = 51,774/x
3. Step 3: Cross multiply
   34,018x = 51,774 × 51,774
4. Step 4: Simplify right side
   34,018x = 2,680,547,076
5. Step 5: Solve for x
   x = 2,680,547,076/34,018
6. Step 6: Final answer
   x = 78,797.90