Finding the Third Proportional to 1,946.53 and 3,005.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.53 : 3,005.86 = 3,005.86 : x
2. Step 2: Convert to fraction form
   1,946.53/3,005.86 = 3,005.86/x
3. Step 3: Cross multiply
   1,946.53x = 3,005.86 × 3,005.86
4. Step 4: Simplify right side
   1,946.53x = 9,035,190.58
5. Step 5: Solve for x
   x = 9,035,190.58/1,946.53
6. Step 6: Final answer
   x = 4,641.69