Finding the Third Proportional to 1,535.84 and 3,290.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.84 : 3,290.77 = 3,290.77 : x
2. Step 2: Convert to fraction form
   1,535.84/3,290.77 = 3,290.77/x
3. Step 3: Cross multiply
   1,535.84x = 3,290.77 × 3,290.77
4. Step 4: Simplify right side
   1,535.84x = 10,829,138.40
5. Step 5: Solve for x
   x = 10,829,138.40/1,535.84
6. Step 6: Final answer
   x = 7,050.97