Finding the Third Proportional to 1,543.50 and 3,420.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.50 : 3,420.56 = 3,420.56 : x
2. Step 2: Convert to fraction form
   1,543.50/3,420.56 = 3,420.56/x
3. Step 3: Cross multiply
   1,543.50x = 3,420.56 × 3,420.56
4. Step 4: Simplify right side
   1,543.50x = 11,700,247.82
5. Step 5: Solve for x
   x = 11,700,247.82/1,543.50
6. Step 6: Final answer
   x = 7,580.34