Finding the Third Proportional to 8,123.81 and 17,456.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123.81 : 17,456.63 = 17,456.63 : x
2. Step 2: Convert to fraction form
   8,123.81/17,456.63 = 17,456.63/x
3. Step 3: Cross multiply
   8,123.81x = 17,456.63 × 17,456.63
4. Step 4: Simplify right side
   8,123.81x = 304,733,756.39
5. Step 5: Solve for x
   x = 304,733,756.39/8,123.81
6. Step 6: Final answer
   x = 37,511.18