Finding the Third Proportional to 1,566.56 and 3,308.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.56 : 3,308.63 = 3,308.63 : x
2. Step 2: Convert to fraction form
   1,566.56/3,308.63 = 3,308.63/x
3. Step 3: Cross multiply
   1,566.56x = 3,308.63 × 3,308.63
4. Step 4: Simplify right side
   1,566.56x = 10,946,999.39
5. Step 5: Solve for x
   x = 10,946,999.39/1,566.56
6. Step 6: Final answer
   x = 6,987.91