Finding the Third Proportional to 1,653.78 and 3,535.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.78 : 3,535.01 = 3,535.01 : x
2. Step 2: Convert to fraction form
   1,653.78/3,535.01 = 3,535.01/x
3. Step 3: Cross multiply
   1,653.78x = 3,535.01 × 3,535.01
4. Step 4: Simplify right side
   1,653.78x = 12,496,290.59
5. Step 5: Solve for x
   x = 12,496,290.59/1,653.78
6. Step 6: Final answer
   x = 7,556.22