Finding the Third Proportional to 1,543.50 and 3,189.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.50 : 3,189.75 = 3,189.75 : x
2. Step 2: Convert to fraction form
   1,543.50/3,189.75 = 3,189.75/x
3. Step 3: Cross multiply
   1,543.50x = 3,189.75 × 3,189.75
4. Step 4: Simplify right side
   1,543.50x = 10,174,505.06
5. Step 5: Solve for x
   x = 10,174,505.06/1,543.50
6. Step 6: Final answer
   x = 6,591.84