Finding the Third Proportional to 3,695.63 and 5,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695.63 : 5,742.56 = 5,742.56 : x
2. Step 2: Convert to fraction form
   3,695.63/5,742.56 = 5,742.56/x
3. Step 3: Cross multiply
   3,695.63x = 5,742.56 × 5,742.56
4. Step 4: Simplify right side
   3,695.63x = 32,977,024.07
5. Step 5: Solve for x
   x = 32,977,024.07/3,695.63
6. Step 6: Final answer
   x = 8,923.26