Finding the Third Proportional to 12,123 and 19,028.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 19,028.25 = 19,028.25 : x
2. Step 2: Convert to fraction form
   12,123/19,028.25 = 19,028.25/x
3. Step 3: Cross multiply
   12,123x = 19,028.25 × 19,028.25
4. Step 4: Simplify right side
   12,123x = 362,074,298.06
5. Step 5: Solve for x
   x = 362,074,298.06/12,123
6. Step 6: Final answer
   x = 29,866.72