Finding the Third Proportional to 11,421 and 12,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,421 : 12,433.50 = 12,433.50 : x
2. Step 2: Convert to fraction form
   11,421/12,433.50 = 12,433.50/x
3. Step 3: Cross multiply
   11,421x = 12,433.50 × 12,433.50
4. Step 4: Simplify right side
   11,421x = 154,591,922.25
5. Step 5: Solve for x
   x = 154,591,922.25/11,421
6. Step 6: Final answer
   x = 13,535.76