Finding the Third Proportional to 3,742.31 and 5,613.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.31 : 5,613.56 = 5,613.56 : x
2. Step 2: Convert to fraction form
   3,742.31/5,613.56 = 5,613.56/x
3. Step 3: Cross multiply
   3,742.31x = 5,613.56 × 5,613.56
4. Step 4: Simplify right side
   3,742.31x = 31,512,083.94
5. Step 5: Solve for x
   x = 31,512,083.94/3,742.31
6. Step 6: Final answer
   x = 8,420.48