Finding the Third Proportional to 11,289 and 12,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,289 : 12,301.50 = 12,301.50 : x
2. Step 2: Convert to fraction form
   11,289/12,301.50 = 12,301.50/x
3. Step 3: Cross multiply
   11,289x = 12,301.50 × 12,301.50
4. Step 4: Simplify right side
   11,289x = 151,326,902.25
5. Step 5: Solve for x
   x = 151,326,902.25/11,289
6. Step 6: Final answer
   x = 13,404.81