Finding the Third Proportional to 1,558.13 and 3,290.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,558.13 : 3,290.06 = 3,290.06 : x
2. Step 2: Convert to fraction form
   1,558.13/3,290.06 = 3,290.06/x
3. Step 3: Cross multiply
   1,558.13x = 3,290.06 × 3,290.06
4. Step 4: Simplify right side
   1,558.13x = 10,824,511.25
5. Step 5: Solve for x
   x = 10,824,511.25/1,558.13
6. Step 6: Final answer
   x = 6,947.14