Finding the Third Proportional to 7,734 and 12,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,734 : 12,292.50 = 12,292.50 : x
2. Step 2: Convert to fraction form
   7,734/12,292.50 = 12,292.50/x
3. Step 3: Cross multiply
   7,734x = 12,292.50 × 12,292.50
4. Step 4: Simplify right side
   7,734x = 151,105,556.25
5. Step 5: Solve for x
   x = 151,105,556.25/7,734
6. Step 6: Final answer
   x = 19,537.83