Finding the Third Proportional to 1,946.53 and 4,148.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.53 : 4,148.72 = 4,148.72 : x
2. Step 2: Convert to fraction form
   1,946.53/4,148.72 = 4,148.72/x
3. Step 3: Cross multiply
   1,946.53x = 4,148.72 × 4,148.72
4. Step 4: Simplify right side
   1,946.53x = 17,211,867.27
5. Step 5: Solve for x
   x = 17,211,867.27/1,946.53
6. Step 6: Final answer
   x = 8,842.33