Finding the Third Proportional to 2,355.19 and 3,533.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355.19 : 3,533.06 = 3,533.06 : x
2. Step 2: Convert to fraction form
   2,355.19/3,533.06 = 3,533.06/x
3. Step 3: Cross multiply
   2,355.19x = 3,533.06 × 3,533.06
4. Step 4: Simplify right side
   2,355.19x = 12,482,530.63
5. Step 5: Solve for x
   x = 12,482,530.63/2,355.19
6. Step 6: Final answer
   x = 5,300.02