Finding the Third Proportional to 2,116.50 and 4,377.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.50 : 4,377.56 = 4,377.56 : x
2. Step 2: Convert to fraction form
   2,116.50/4,377.56 = 4,377.56/x
3. Step 3: Cross multiply
   2,116.50x = 4,377.56 × 4,377.56
4. Step 4: Simplify right side
   2,116.50x = 19,163,053.44
5. Step 5: Solve for x
   x = 19,163,053.44/2,116.50
6. Step 6: Final answer
   x = 9,054.12