Finding the Third Proportional to 1,946.81 and 4,168.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.81 : 4,168.69 = 4,168.69 : x
2. Step 2: Convert to fraction form
   1,946.81/4,168.69 = 4,168.69/x
3. Step 3: Cross multiply
   1,946.81x = 4,168.69 × 4,168.69
4. Step 4: Simplify right side
   1,946.81x = 17,377,955.47
5. Step 5: Solve for x
   x = 17,377,955.47/1,946.81
6. Step 6: Final answer
   x = 8,926.36