Finding the Third Proportional to 753.05 and 1,641.52

Step by Step Solution

1. Step 1: Write the proportion equation
   753.05 : 1,641.52 = 1,641.52 : x
2. Step 2: Convert to fraction form
   753.05/1,641.52 = 1,641.52/x
3. Step 3: Cross multiply
   753.05x = 1,641.52 × 1,641.52
4. Step 4: Simplify right side
   753.05x = 2,694,573.55
5. Step 5: Solve for x
   x = 2,694,573.55/753.05
6. Step 6: Final answer
   x = 3,578.23