Finding the Third Proportional to 1,622.53 and 3,505.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,622.53 : 3,505.78 = 3,505.78 : x
2. Step 2: Convert to fraction form
   1,622.53/3,505.78 = 3,505.78/x
3. Step 3: Cross multiply
   1,622.53x = 3,505.78 × 3,505.78
4. Step 4: Simplify right side
   1,622.53x = 12,290,502.17
5. Step 5: Solve for x
   x = 12,290,502.17/1,622.53
6. Step 6: Final answer
   x = 7,574.89