Finding the Third Proportional to 4,090.50 and 6,487.59

Step by Step Solution

1. Step 1: Write the proportion equation
   4,090.50 : 6,487.59 = 6,487.59 : x
2. Step 2: Convert to fraction form
   4,090.50/6,487.59 = 6,487.59/x
3. Step 3: Cross multiply
   4,090.50x = 6,487.59 × 6,487.59
4. Step 4: Simplify right side
   4,090.50x = 42,088,872.67
5. Step 5: Solve for x
   x = 42,088,872.67/4,090.50
6. Step 6: Final answer
   x = 10,289.42