Finding the Third Proportional to 3,700.69 and 5,627.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,700.69 : 5,627.06 = 5,627.06 : x
2. Step 2: Convert to fraction form
   3,700.69/5,627.06 = 5,627.06/x
3. Step 3: Cross multiply
   3,700.69x = 5,627.06 × 5,627.06
4. Step 4: Simplify right side
   3,700.69x = 31,663,832.38
5. Step 5: Solve for x
   x = 31,663,832.38/3,700.69
6. Step 6: Final answer
   x = 8,556.20