Finding the Third Proportional to 1,377.38 and 2,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.38 : 2,828.06 = 2,828.06 : x
2. Step 2: Convert to fraction form
   1,377.38/2,828.06 = 2,828.06/x
3. Step 3: Cross multiply
   1,377.38x = 2,828.06 × 2,828.06
4. Step 4: Simplify right side
   1,377.38x = 7,997,937.50
5. Step 5: Solve for x
   x = 7,997,937.50/1,377.38
6. Step 6: Final answer
   x = 5,806.65