Finding the Third Proportional to 1,646.16 and 3,494.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.16 : 3,494.81 = 3,494.81 : x
2. Step 2: Convert to fraction form
   1,646.16/3,494.81 = 3,494.81/x
3. Step 3: Cross multiply
   1,646.16x = 3,494.81 × 3,494.81
4. Step 4: Simplify right side
   1,646.16x = 12,213,714.41
5. Step 5: Solve for x
   x = 12,213,714.41/1,646.16
6. Step 6: Final answer
   x = 7,419.54