Finding the Third Proportional to 1,498.50 and 3,224.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 3,224.81 = 3,224.81 : x
2. Step 2: Convert to fraction form
   1,498.50/3,224.81 = 3,224.81/x
3. Step 3: Cross multiply
   1,498.50x = 3,224.81 × 3,224.81
4. Step 4: Simplify right side
   1,498.50x = 10,399,415.66
5. Step 5: Solve for x
   x = 10,399,415.66/1,498.50
6. Step 6: Final answer
   x = 6,939.88