Finding the Third Proportional to 7,794 and 12,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,794 : 12,145.50 = 12,145.50 : x
2. Step 2: Convert to fraction form
   7,794/12,145.50 = 12,145.50/x
3. Step 3: Cross multiply
   7,794x = 12,145.50 × 12,145.50
4. Step 4: Simplify right side
   7,794x = 147,513,170.25
5. Step 5: Solve for x
   x = 147,513,170.25/7,794
6. Step 6: Final answer
   x = 18,926.50