Finding the Third Proportional to 2,366.58 and 4,977.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366.58 : 4,977.98 = 4,977.98 : x
2. Step 2: Convert to fraction form
   2,366.58/4,977.98 = 4,977.98/x
3. Step 3: Cross multiply
   2,366.58x = 4,977.98 × 4,977.98
4. Step 4: Simplify right side
   2,366.58x = 24,780,328.44
5. Step 5: Solve for x
   x = 24,780,328.44/2,366.58
6. Step 6: Final answer
   x = 10,470.95