Finding the Third Proportional to 1,946.25 and 3,004.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.25 : 3,004.88 = 3,004.88 : x
2. Step 2: Convert to fraction form
   1,946.25/3,004.88 = 3,004.88/x
3. Step 3: Cross multiply
   1,946.25x = 3,004.88 × 3,004.88
4. Step 4: Simplify right side
   1,946.25x = 9,029,273.77
5. Step 5: Solve for x
   x = 9,029,273.77/1,946.25
6. Step 6: Final answer
   x = 4,639.32