Finding the Third Proportional to 1,566.56 and 3,704.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.56 : 3,704.06 = 3,704.06 : x
2. Step 2: Convert to fraction form
   1,566.56/3,704.06 = 3,704.06/x
3. Step 3: Cross multiply
   1,566.56x = 3,704.06 × 3,704.06
4. Step 4: Simplify right side
   1,566.56x = 13,720,079.00
5. Step 5: Solve for x
   x = 13,720,079.00/1,566.56
6. Step 6: Final answer
   x = 8,758.08