Finding the Third Proportional to 12,072.38 and 19,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,072.38 : 19,209.50 = 19,209.50 : x
2. Step 2: Convert to fraction form
   12,072.38/19,209.50 = 19,209.50/x
3. Step 3: Cross multiply
   12,072.38x = 19,209.50 × 19,209.50
4. Step 4: Simplify right side
   12,072.38x = 369,004,890.25
5. Step 5: Solve for x
   x = 369,004,890.25/12,072.38
6. Step 6: Final answer
   x = 30,566.06