Finding the Third Proportional to 1,566.95 and 3,441.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.95 : 3,441.46 = 3,441.46 : x
2. Step 2: Convert to fraction form
   1,566.95/3,441.46 = 3,441.46/x
3. Step 3: Cross multiply
   1,566.95x = 3,441.46 × 3,441.46
4. Step 4: Simplify right side
   1,566.95x = 11,843,666.83
5. Step 5: Solve for x
   x = 11,843,666.83/1,566.95
6. Step 6: Final answer
   x = 7,558.42