Finding the Third Proportional to 1,594.69 and 1,826.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,594.69 : 1,826.72 = 1,826.72 : x
2. Step 2: Convert to fraction form
   1,594.69/1,826.72 = 1,826.72/x
3. Step 3: Cross multiply
   1,594.69x = 1,826.72 × 1,826.72
4. Step 4: Simplify right side
   1,594.69x = 3,336,901.39
5. Step 5: Solve for x
   x = 3,336,901.39/1,594.69
6. Step 6: Final answer
   x = 2,092.51