Finding the Third Proportional to 12,270 and 19,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,270 : 19,034.50 = 19,034.50 : x
2. Step 2: Convert to fraction form
   12,270/19,034.50 = 19,034.50/x
3. Step 3: Cross multiply
   12,270x = 19,034.50 × 19,034.50
4. Step 4: Simplify right side
   12,270x = 362,312,190.25
5. Step 5: Solve for x
   x = 362,312,190.25/12,270
6. Step 6: Final answer
   x = 29,528.30