Finding the Third Proportional to 1,505.67 and 2,395.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.67 : 2,395.41 = 2,395.41 : x
2. Step 2: Convert to fraction form
   1,505.67/2,395.41 = 2,395.41/x
3. Step 3: Cross multiply
   1,505.67x = 2,395.41 × 2,395.41
4. Step 4: Simplify right side
   1,505.67x = 5,737,971.10
5. Step 5: Solve for x
   x = 5,737,971.10/1,505.67
6. Step 6: Final answer
   x = 3,810.90