Finding the Third Proportional to 12,074 and 19,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,074 : 19,211.50 = 19,211.50 : x
2. Step 2: Convert to fraction form
   12,074/19,211.50 = 19,211.50/x
3. Step 3: Cross multiply
   12,074x = 19,211.50 × 19,211.50
4. Step 4: Simplify right side
   12,074x = 369,081,732.25
5. Step 5: Solve for x
   x = 369,081,732.25/12,074
6. Step 6: Final answer
   x = 30,568.31