Finding the Third Proportional to 12,131.50 and 19,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,131.50 : 19,291.50 = 19,291.50 : x
2. Step 2: Convert to fraction form
   12,131.50/19,291.50 = 19,291.50/x
3. Step 3: Cross multiply
   12,131.50x = 19,291.50 × 19,291.50
4. Step 4: Simplify right side
   12,131.50x = 372,161,972.25
5. Step 5: Solve for x
   x = 372,161,972.25/12,131.50
6. Step 6: Final answer
   x = 30,677.33