Finding the Third Proportional to 2,053.50 and 3,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.50 : 3,186.50 = 3,186.50 : x
2. Step 2: Convert to fraction form
   2,053.50/3,186.50 = 3,186.50/x
3. Step 3: Cross multiply
   2,053.50x = 3,186.50 × 3,186.50
4. Step 4: Simplify right side
   2,053.50x = 10,153,782.25
5. Step 5: Solve for x
   x = 10,153,782.25/2,053.50
6. Step 6: Final answer
   x = 4,944.62