Finding the Third Proportional to 1,965.38 and 4,606.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.38 : 4,606.31 = 4,606.31 : x
2. Step 2: Convert to fraction form
   1,965.38/4,606.31 = 4,606.31/x
3. Step 3: Cross multiply
   1,965.38x = 4,606.31 × 4,606.31
4. Step 4: Simplify right side
   1,965.38x = 21,218,114.85
5. Step 5: Solve for x
   x = 21,218,114.85/1,965.38
6. Step 6: Final answer
   x = 10,795.96