Finding the Third Proportional to 2,221.80 and 4,625.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,221.80 : 4,625.86 = 4,625.86 : x
2. Step 2: Convert to fraction form
   2,221.80/4,625.86 = 4,625.86/x
3. Step 3: Cross multiply
   2,221.80x = 4,625.86 × 4,625.86
4. Step 4: Simplify right side
   2,221.80x = 21,398,574.96
5. Step 5: Solve for x
   x = 21,398,574.96/2,221.80
6. Step 6: Final answer
   x = 9,631.17