Finding the Third Proportional to 12,427.50 and 25,692

Step by Step Solution

1. Step 1: Write the proportion equation
   12,427.50 : 25,692 = 25,692 : x
2. Step 2: Convert to fraction form
   12,427.50/25,692 = 25,692/x
3. Step 3: Cross multiply
   12,427.50x = 25,692 × 25,692
4. Step 4: Simplify right side
   12,427.50x = 660,078,864
5. Step 5: Solve for x
   x = 660,078,864/12,427.50
6. Step 6: Final answer
   x = 53,114.37