Finding the Third Proportional to 1,566.88 and 3,441.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.88 : 3,441.38 = 3,441.38 : x
2. Step 2: Convert to fraction form
   1,566.88/3,441.38 = 3,441.38/x
3. Step 3: Cross multiply
   1,566.88x = 3,441.38 × 3,441.38
4. Step 4: Simplify right side
   1,566.88x = 11,843,061.89
5. Step 5: Solve for x
   x = 11,843,061.89/1,566.88
6. Step 6: Final answer
   x = 7,558.40