Finding the Third Proportional to 1,653.75 and 4,086.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.75 : 4,086.56 = 4,086.56 : x
2. Step 2: Convert to fraction form
   1,653.75/4,086.56 = 4,086.56/x
3. Step 3: Cross multiply
   1,653.75x = 4,086.56 × 4,086.56
4. Step 4: Simplify right side
   1,653.75x = 16,699,993.07
5. Step 5: Solve for x
   x = 16,699,993.07/1,653.75
6. Step 6: Final answer
   x = 10,098.26