Finding the Third Proportional to 7,731 and 12,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,731 : 12,451.50 = 12,451.50 : x
2. Step 2: Convert to fraction form
   7,731/12,451.50 = 12,451.50/x
3. Step 3: Cross multiply
   7,731x = 12,451.50 × 12,451.50
4. Step 4: Simplify right side
   7,731x = 155,039,852.25
5. Step 5: Solve for x
   x = 155,039,852.25/7,731
6. Step 6: Final answer
   x = 20,054.31