Finding the Third Proportional to 12,123 and 19,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 19,345.50 = 19,345.50 : x
2. Step 2: Convert to fraction form
   12,123/19,345.50 = 19,345.50/x
3. Step 3: Cross multiply
   12,123x = 19,345.50 × 19,345.50
4. Step 4: Simplify right side
   12,123x = 374,248,370.25
5. Step 5: Solve for x
   x = 374,248,370.25/12,123
6. Step 6: Final answer
   x = 30,870.94