Finding the Third Proportional to 3,886.31 and 5,417.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,886.31 : 5,417.72 = 5,417.72 : x
2. Step 2: Convert to fraction form
   3,886.31/5,417.72 = 5,417.72/x
3. Step 3: Cross multiply
   3,886.31x = 5,417.72 × 5,417.72
4. Step 4: Simplify right side
   3,886.31x = 29,351,676.45
5. Step 5: Solve for x
   x = 29,351,676.45/3,886.31
6. Step 6: Final answer
   x = 7,552.58