Finding the Third Proportional to 2,977.31 and 4,635.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977.31 : 4,635.56 = 4,635.56 : x
2. Step 2: Convert to fraction form
   2,977.31/4,635.56 = 4,635.56/x
3. Step 3: Cross multiply
   2,977.31x = 4,635.56 × 4,635.56
4. Step 4: Simplify right side
   2,977.31x = 21,488,439.69
5. Step 5: Solve for x
   x = 21,488,439.69/2,977.31
6. Step 6: Final answer
   x = 7,217.39