Finding the Third Proportional to 2,154.73 and 4,611.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154.73 : 4,611.78 = 4,611.78 : x
2. Step 2: Convert to fraction form
   2,154.73/4,611.78 = 4,611.78/x
3. Step 3: Cross multiply
   2,154.73x = 4,611.78 × 4,611.78
4. Step 4: Simplify right side
   2,154.73x = 21,268,508.28
5. Step 5: Solve for x
   x = 21,268,508.28/2,154.73
6. Step 6: Final answer
   x = 9,870.63