Finding the Third Proportional to 2,659.50 and 4,726.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.50 : 4,726.69 = 4,726.69 : x
2. Step 2: Convert to fraction form
   2,659.50/4,726.69 = 4,726.69/x
3. Step 3: Cross multiply
   2,659.50x = 4,726.69 × 4,726.69
4. Step 4: Simplify right side
   2,659.50x = 22,341,574.72
5. Step 5: Solve for x
   x = 22,341,574.72/2,659.50
6. Step 6: Final answer
   x = 8,400.67