Finding the Third Proportional to 3,679.31 and 5,627.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,679.31 : 5,627.06 = 5,627.06 : x
2. Step 2: Convert to fraction form
   3,679.31/5,627.06 = 5,627.06/x
3. Step 3: Cross multiply
   3,679.31x = 5,627.06 × 5,627.06
4. Step 4: Simplify right side
   3,679.31x = 31,663,832.38
5. Step 5: Solve for x
   x = 31,663,832.38/3,679.31
6. Step 6: Final answer
   x = 8,605.91