Finding the Third Proportional to 1,506.23 and 3,243.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.23 : 3,243.76 = 3,243.76 : x
2. Step 2: Convert to fraction form
   1,506.23/3,243.76 = 3,243.76/x
3. Step 3: Cross multiply
   1,506.23x = 3,243.76 × 3,243.76
4. Step 4: Simplify right side
   1,506.23x = 10,521,990.09
5. Step 5: Solve for x
   x = 10,521,990.09/1,506.23
6. Step 6: Final answer
   x = 6,985.63