Finding the Third Proportional to 1,825.31 and 2,965.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.31 : 2,965.78 = 2,965.78 : x
2. Step 2: Convert to fraction form
   1,825.31/2,965.78 = 2,965.78/x
3. Step 3: Cross multiply
   1,825.31x = 2,965.78 × 2,965.78
4. Step 4: Simplify right side
   1,825.31x = 8,795,858.42
5. Step 5: Solve for x
   x = 8,795,858.42/1,825.31
6. Step 6: Final answer
   x = 4,818.82