Finding the Third Proportional to 1,627.69 and 3,502.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.69 : 3,502.31 = 3,502.31 : x
2. Step 2: Convert to fraction form
   1,627.69/3,502.31 = 3,502.31/x
3. Step 3: Cross multiply
   1,627.69x = 3,502.31 × 3,502.31
4. Step 4: Simplify right side
   1,627.69x = 12,266,192.85
5. Step 5: Solve for x
   x = 12,266,192.85/1,627.69
6. Step 6: Final answer
   x = 7,535.96