Finding the Third Proportional to 8,138.25 and 12,294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,138.25 : 12,294.56 = 12,294.56 : x
2. Step 2: Convert to fraction form
   8,138.25/12,294.56 = 12,294.56/x
3. Step 3: Cross multiply
   8,138.25x = 12,294.56 × 12,294.56
4. Step 4: Simplify right side
   8,138.25x = 151,156,267.07
5. Step 5: Solve for x
   x = 151,156,267.07/8,138.25
6. Step 6: Final answer
   x = 18,573.56