Finding the Third Proportional to 1,566.84 and 3,667.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 3,667.36 = 3,667.36 : x
2. Step 2: Convert to fraction form
   1,566.84/3,667.36 = 3,667.36/x
3. Step 3: Cross multiply
   1,566.84x = 3,667.36 × 3,667.36
4. Step 4: Simplify right side
   1,566.84x = 13,449,524.79
5. Step 5: Solve for x
   x = 13,449,524.79/1,566.84
6. Step 6: Final answer
   x = 8,583.83