Finding the Third Proportional to 1,566.75 and 3,626.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.75 : 3,626.63 = 3,626.63 : x
2. Step 2: Convert to fraction form
   1,566.75/3,626.63 = 3,626.63/x
3. Step 3: Cross multiply
   1,566.75x = 3,626.63 × 3,626.63
4. Step 4: Simplify right side
   1,566.75x = 13,152,408.89
5. Step 5: Solve for x
   x = 13,152,408.89/1,566.75
6. Step 6: Final answer
   x = 8,394.71