Finding the Third Proportional to 1,637.86 and 3,535.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,637.86 : 3,535.03 = 3,535.03 : x
2. Step 2: Convert to fraction form
   1,637.86/3,535.03 = 3,535.03/x
3. Step 3: Cross multiply
   1,637.86x = 3,535.03 × 3,535.03
4. Step 4: Simplify right side
   1,637.86x = 12,496,445.94
5. Step 5: Solve for x
   x = 12,496,445.94/1,637.86
6. Step 6: Final answer
   x = 7,629.74