Finding the Third Proportional to 1,505.78 and 3,193.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.78 : 3,193.80 = 3,193.80 : x
2. Step 2: Convert to fraction form
   1,505.78/3,193.80 = 3,193.80/x
3. Step 3: Cross multiply
   1,505.78x = 3,193.80 × 3,193.80
4. Step 4: Simplify right side
   1,505.78x = 10,200,388.38
5. Step 5: Solve for x
   x = 10,200,388.38/1,505.78
6. Step 6: Final answer
   x = 6,774.17