Finding the Third Proportional to 1,620.56 and 3,533.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,620.56 : 3,533.63 = 3,533.63 : x
2. Step 2: Convert to fraction form
   1,620.56/3,533.63 = 3,533.63/x
3. Step 3: Cross multiply
   1,620.56x = 3,533.63 × 3,533.63
4. Step 4: Simplify right side
   1,620.56x = 12,486,505.64
5. Step 5: Solve for x
   x = 12,486,505.64/1,620.56
6. Step 6: Final answer
   x = 7,705.04