Finding the Third Proportional to 1,454.64 and 3,139.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.64 : 3,139.86 = 3,139.86 : x
2. Step 2: Convert to fraction form
   1,454.64/3,139.86 = 3,139.86/x
3. Step 3: Cross multiply
   1,454.64x = 3,139.86 × 3,139.86
4. Step 4: Simplify right side
   1,454.64x = 9,858,704.63
5. Step 5: Solve for x
   x = 9,858,704.63/1,454.64
6. Step 6: Final answer
   x = 6,777.41