Finding the Third Proportional to 19,082.25 and 31,640.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,082.25 : 31,640.63 = 31,640.63 : x
2. Step 2: Convert to fraction form
   19,082.25/31,640.63 = 31,640.63/x
3. Step 3: Cross multiply
   19,082.25x = 31,640.63 × 31,640.63
4. Step 4: Simplify right side
   19,082.25x = 1,001,129,150.39
5. Step 5: Solve for x
   x = 1,001,129,150.39/19,082.25
6. Step 6: Final answer
   x = 52,463.89