Finding the Third Proportional to 20,777.25 and 31,082.63

Step by Step Solution

1. Step 1: Write the proportion equation
   20,777.25 : 31,082.63 = 31,082.63 : x
2. Step 2: Convert to fraction form
   20,777.25/31,082.63 = 31,082.63/x
3. Step 3: Cross multiply
   20,777.25x = 31,082.63 × 31,082.63
4. Step 4: Simplify right side
   20,777.25x = 966,129,576.89
5. Step 5: Solve for x
   x = 966,129,576.89/20,777.25
6. Step 6: Final answer
   x = 46,499.40