Finding the Third Proportional to 6,523.03 and 12,658.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,523.03 : 12,658.78 = 12,658.78 : x
2. Step 2: Convert to fraction form
   6,523.03/12,658.78 = 12,658.78/x
3. Step 3: Cross multiply
   6,523.03x = 12,658.78 × 12,658.78
4. Step 4: Simplify right side
   6,523.03x = 160,244,742.74
5. Step 5: Solve for x
   x = 160,244,742.74/6,523.03
6. Step 6: Final answer
   x = 24,565.99