Finding the Third Proportional to 1,365.75 and 2,926.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.75 : 2,926.27 = 2,926.27 : x
2. Step 2: Convert to fraction form
   1,365.75/2,926.27 = 2,926.27/x
3. Step 3: Cross multiply
   1,365.75x = 2,926.27 × 2,926.27
4. Step 4: Simplify right side
   1,365.75x = 8,563,030.51
5. Step 5: Solve for x
   x = 8,563,030.51/1,365.75
6. Step 6: Final answer
   x = 6,269.84