Finding the Third Proportional to 1,959.75 and 3,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,959.75 : 3,002.06 = 3,002.06 : x
2. Step 2: Convert to fraction form
   1,959.75/3,002.06 = 3,002.06/x
3. Step 3: Cross multiply
   1,959.75x = 3,002.06 × 3,002.06
4. Step 4: Simplify right side
   1,959.75x = 9,012,379.25
5. Step 5: Solve for x
   x = 9,012,379.25/1,959.75
6. Step 6: Final answer
   x = 4,598.74