Finding the Third Proportional to 12,924 and 19,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,924 : 19,142.50 = 19,142.50 : x
2. Step 2: Convert to fraction form
   12,924/19,142.50 = 19,142.50/x
3. Step 3: Cross multiply
   12,924x = 19,142.50 × 19,142.50
4. Step 4: Simplify right side
   12,924x = 366,435,306.25
5. Step 5: Solve for x
   x = 366,435,306.25/12,924
6. Step 6: Final answer
   x = 28,353.09