Finding the Third Proportional to 1,835.16 and 2,769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,835.16 : 2,769.82 = 2,769.82 : x
2. Step 2: Convert to fraction form
   1,835.16/2,769.82 = 2,769.82/x
3. Step 3: Cross multiply
   1,835.16x = 2,769.82 × 2,769.82
4. Step 4: Simplify right side
   1,835.16x = 7,671,904.56
5. Step 5: Solve for x
   x = 7,671,904.56/1,835.16
6. Step 6: Final answer
   x = 4,180.52