Finding the Third Proportional to 30,846 and 67,278

Step by Step Solution

1. Step 1: Write the proportion equation
   30,846 : 67,278 = 67,278 : x
2. Step 2: Convert to fraction form
   30,846/67,278 = 67,278/x
3. Step 3: Cross multiply
   30,846x = 67,278 × 67,278
4. Step 4: Simplify right side
   30,846x = 4,526,329,284
5. Step 5: Solve for x
   x = 4,526,329,284/30,846
6. Step 6: Final answer
   x = 146,739.59