Finding the Third Proportional to 4,090.50 and 7,718.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,090.50 : 7,718.63 = 7,718.63 : x
2. Step 2: Convert to fraction form
   4,090.50/7,718.63 = 7,718.63/x
3. Step 3: Cross multiply
   4,090.50x = 7,718.63 × 7,718.63
4. Step 4: Simplify right side
   4,090.50x = 59,577,171.89
5. Step 5: Solve for x
   x = 59,577,171.89/4,090.50
6. Step 6: Final answer
   x = 14,564.77