Finding the Third Proportional to 3,731.50 and 8,128.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,731.50 : 8,128.63 = 8,128.63 : x
2. Step 2: Convert to fraction form
   3,731.50/8,128.63 = 8,128.63/x
3. Step 3: Cross multiply
   3,731.50x = 8,128.63 × 8,128.63
4. Step 4: Simplify right side
   3,731.50x = 66,074,544.39
5. Step 5: Solve for x
   x = 66,074,544.39/3,731.50
6. Step 6: Final answer
   x = 17,707.23