Finding the Third Proportional to 1,558.75 and 3,293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,558.75 : 3,293.25 = 3,293.25 : x
2. Step 2: Convert to fraction form
   1,558.75/3,293.25 = 3,293.25/x
3. Step 3: Cross multiply
   1,558.75x = 3,293.25 × 3,293.25
4. Step 4: Simplify right side
   1,558.75x = 10,845,495.56
5. Step 5: Solve for x
   x = 10,845,495.56/1,558.75
6. Step 6: Final answer
   x = 6,957.82