Finding the Third Proportional to 1,556.30 and 3,385.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,556.30 : 3,385.83 = 3,385.83 : x
2. Step 2: Convert to fraction form
   1,556.30/3,385.83 = 3,385.83/x
3. Step 3: Cross multiply
   1,556.30x = 3,385.83 × 3,385.83
4. Step 4: Simplify right side
   1,556.30x = 11,463,832.09
5. Step 5: Solve for x
   x = 11,463,832.09/1,556.30
6. Step 6: Final answer
   x = 7,366.10