Finding the Third Proportional to 2,742.56 and 4,416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.56 : 4,416.56 = 4,416.56 : x
2. Step 2: Convert to fraction form
   2,742.56/4,416.56 = 4,416.56/x
3. Step 3: Cross multiply
   2,742.56x = 4,416.56 × 4,416.56
4. Step 4: Simplify right side
   2,742.56x = 19,506,024.32
5. Step 5: Solve for x
   x = 19,506,024.32/2,742.56
6. Step 6: Final answer
   x = 7,112.34