Finding the Third Proportional to 2,946.38 and 5,978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,946.38 : 5,978.18 = 5,978.18 : x
2. Step 2: Convert to fraction form
   2,946.38/5,978.18 = 5,978.18/x
3. Step 3: Cross multiply
   2,946.38x = 5,978.18 × 5,978.18
4. Step 4: Simplify right side
   2,946.38x = 35,738,632.38
5. Step 5: Solve for x
   x = 35,738,632.38/2,946.38
6. Step 6: Final answer
   x = 12,129.70