Finding the Third Proportional to 12,576.75 and 19,976.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576.75 : 19,976.63 = 19,976.63 : x
2. Step 2: Convert to fraction form
   12,576.75/19,976.63 = 19,976.63/x
3. Step 3: Cross multiply
   12,576.75x = 19,976.63 × 19,976.63
4. Step 4: Simplify right side
   12,576.75x = 399,065,546.39
5. Step 5: Solve for x
   x = 399,065,546.39/12,576.75
6. Step 6: Final answer
   x = 31,730.42