Finding the Third Proportional to 1,458.56 and 3,152.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.56 : 3,152.53 = 3,152.53 : x
2. Step 2: Convert to fraction form
   1,458.56/3,152.53 = 3,152.53/x
3. Step 3: Cross multiply
   1,458.56x = 3,152.53 × 3,152.53
4. Step 4: Simplify right side
   1,458.56x = 9,938,453.28
5. Step 5: Solve for x
   x = 9,938,453.28/1,458.56
6. Step 6: Final answer
   x = 6,813.87