Finding the Third Proportional to 1,672.50 and 3,576.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,672.50 : 3,576.56 = 3,576.56 : x
2. Step 2: Convert to fraction form
   1,672.50/3,576.56 = 3,576.56/x
3. Step 3: Cross multiply
   1,672.50x = 3,576.56 × 3,576.56
4. Step 4: Simplify right side
   1,672.50x = 12,791,799.32
5. Step 5: Solve for x
   x = 12,791,799.32/1,672.50
6. Step 6: Final answer
   x = 7,648.31