Finding the Third Proportional to 3,420.56 and 5,146.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,420.56 : 5,146.88 = 5,146.88 : x
2. Step 2: Convert to fraction form
   3,420.56/5,146.88 = 5,146.88/x
3. Step 3: Cross multiply
   3,420.56x = 5,146.88 × 5,146.88
4. Step 4: Simplify right side
   3,420.56x = 26,490,322.27
5. Step 5: Solve for x
   x = 26,490,322.27/3,420.56
6. Step 6: Final answer
   x = 7,744.43