Finding the Third Proportional to 1,799.72 and 3,925.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,799.72 : 3,925.65 = 3,925.65 : x
2. Step 2: Convert to fraction form
   1,799.72/3,925.65 = 3,925.65/x
3. Step 3: Cross multiply
   1,799.72x = 3,925.65 × 3,925.65
4. Step 4: Simplify right side
   1,799.72x = 15,410,746.32
5. Step 5: Solve for x
   x = 15,410,746.32/1,799.72
6. Step 6: Final answer
   x = 8,562.86