Finding the Third Proportional to 1,514.95 and 3,147.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.95 : 3,147.61 = 3,147.61 : x
2. Step 2: Convert to fraction form
   1,514.95/3,147.61 = 3,147.61/x
3. Step 3: Cross multiply
   1,514.95x = 3,147.61 × 3,147.61
4. Step 4: Simplify right side
   1,514.95x = 9,907,444.78
5. Step 5: Solve for x
   x = 9,907,444.78/1,514.95
6. Step 6: Final answer
   x = 6,539.77