Finding the Third Proportional to 1,535.63 and 3,366.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.63 : 3,366.56 = 3,366.56 : x
2. Step 2: Convert to fraction form
   1,535.63/3,366.56 = 3,366.56/x
3. Step 3: Cross multiply
   1,535.63x = 3,366.56 × 3,366.56
4. Step 4: Simplify right side
   1,535.63x = 11,333,743.07
5. Step 5: Solve for x
   x = 11,333,743.07/1,535.63
6. Step 6: Final answer
   x = 7,380.54