Finding the Third Proportional to 1,619.44 and 3,460.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,619.44 : 3,460.78 = 3,460.78 : x
2. Step 2: Convert to fraction form
   1,619.44/3,460.78 = 3,460.78/x
3. Step 3: Cross multiply
   1,619.44x = 3,460.78 × 3,460.78
4. Step 4: Simplify right side
   1,619.44x = 11,977,006.86
5. Step 5: Solve for x
   x = 11,977,006.86/1,619.44
6. Step 6: Final answer
   x = 7,395.78