Finding the Third Proportional to 2,175.61 and 4,658.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,175.61 : 4,658.77 = 4,658.77 : x
2. Step 2: Convert to fraction form
   2,175.61/4,658.77 = 4,658.77/x
3. Step 3: Cross multiply
   2,175.61x = 4,658.77 × 4,658.77
4. Step 4: Simplify right side
   2,175.61x = 21,704,097.15
5. Step 5: Solve for x
   x = 21,704,097.15/2,175.61
6. Step 6: Final answer
   x = 9,976.10