Finding the Third Proportional to 1,543.78 and 3,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.78 : 3,402.56 = 3,402.56 : x
2. Step 2: Convert to fraction form
   1,543.78/3,402.56 = 3,402.56/x
3. Step 3: Cross multiply
   1,543.78x = 3,402.56 × 3,402.56
4. Step 4: Simplify right side
   1,543.78x = 11,577,431.57
5. Step 5: Solve for x
   x = 11,577,431.57/1,543.78
6. Step 6: Final answer
   x = 7,499.40