Finding the Third Proportional to 1,115.86 and 1,769.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,115.86 : 1,769.77 = 1,769.77 : x
2. Step 2: Convert to fraction form
   1,115.86/1,769.77 = 1,769.77/x
3. Step 3: Cross multiply
   1,115.86x = 1,769.77 × 1,769.77
4. Step 4: Simplify right side
   1,115.86x = 3,132,070.37
5. Step 5: Solve for x
   x = 3,132,070.37/1,115.86
6. Step 6: Final answer
   x = 2,806.87