Finding the Third Proportional to 1,490.50 and 3,186.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.50 : 3,186.25 = 3,186.25 : x
2. Step 2: Convert to fraction form
   1,490.50/3,186.25 = 3,186.25/x
3. Step 3: Cross multiply
   1,490.50x = 3,186.25 × 3,186.25
4. Step 4: Simplify right side
   1,490.50x = 10,152,189.06
5. Step 5: Solve for x
   x = 10,152,189.06/1,490.50
6. Step 6: Final answer
   x = 6,811.26