Finding the Third Proportional to 2,557.83 and 4,725.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.83 : 4,725.84 = 4,725.84 : x
2. Step 2: Convert to fraction form
   2,557.83/4,725.84 = 4,725.84/x
3. Step 3: Cross multiply
   2,557.83x = 4,725.84 × 4,725.84
4. Step 4: Simplify right side
   2,557.83x = 22,333,599.15
5. Step 5: Solve for x
   x = 22,333,599.15/2,557.83
6. Step 6: Final answer
   x = 8,731.47