Finding the Third Proportional to 1,658.16 and 3,575.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,658.16 : 3,575.34 = 3,575.34 : x
2. Step 2: Convert to fraction form
   1,658.16/3,575.34 = 3,575.34/x
3. Step 3: Cross multiply
   1,658.16x = 3,575.34 × 3,575.34
4. Step 4: Simplify right side
   1,658.16x = 12,783,082.93
5. Step 5: Solve for x
   x = 12,783,082.93/1,658.16
6. Step 6: Final answer
   x = 7,709.21