Finding the Third Proportional to 3,665.63 and 7,147.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.63 : 7,147.88 = 7,147.88 : x
2. Step 2: Convert to fraction form
   3,665.63/7,147.88 = 7,147.88/x
3. Step 3: Cross multiply
   3,665.63x = 7,147.88 × 7,147.88
4. Step 4: Simplify right side
   3,665.63x = 51,092,117.02
5. Step 5: Solve for x
   x = 51,092,117.02/3,665.63
6. Step 6: Final answer
   x = 13,938.17