Finding the Third Proportional to 1,615.50 and 3,535.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,615.50 : 3,535.88 = 3,535.88 : x
2. Step 2: Convert to fraction form
   1,615.50/3,535.88 = 3,535.88/x
3. Step 3: Cross multiply
   1,615.50x = 3,535.88 × 3,535.88
4. Step 4: Simplify right side
   1,615.50x = 12,502,412.02
5. Step 5: Solve for x
   x = 12,502,412.02/1,615.50
6. Step 6: Final answer
   x = 7,739.04