Finding the Third Proportional to 1,576.18 and 3,447.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,576.18 : 3,447.62 = 3,447.62 : x
2. Step 2: Convert to fraction form
   1,576.18/3,447.62 = 3,447.62/x
3. Step 3: Cross multiply
   1,576.18x = 3,447.62 × 3,447.62
4. Step 4: Simplify right side
   1,576.18x = 11,886,096.26
5. Step 5: Solve for x
   x = 11,886,096.26/1,576.18
6. Step 6: Final answer
   x = 7,541.09