Finding the Third Proportional to 1,976.06 and 2,780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.06 : 2,780.06 = 2,780.06 : x
2. Step 2: Convert to fraction form
   1,976.06/2,780.06 = 2,780.06/x
3. Step 3: Cross multiply
   1,976.06x = 2,780.06 × 2,780.06
4. Step 4: Simplify right side
   1,976.06x = 7,728,747.50
5. Step 5: Solve for x
   x = 7,728,747.50/1,976.06
6. Step 6: Final answer
   x = 3,911.19