Finding the Third Proportional to 3,595.50 and 5,297.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,595.50 : 5,297.06 = 5,297.06 : x
2. Step 2: Convert to fraction form
   3,595.50/5,297.06 = 5,297.06/x
3. Step 3: Cross multiply
   3,595.50x = 5,297.06 × 5,297.06
4. Step 4: Simplify right side
   3,595.50x = 28,058,871.13
5. Step 5: Solve for x
   x = 28,058,871.13/3,595.50
6. Step 6: Final answer
   x = 7,803.89