Finding the Third Proportional to 11,259 and 12,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,259 : 12,190.50 = 12,190.50 : x
2. Step 2: Convert to fraction form
   11,259/12,190.50 = 12,190.50/x
3. Step 3: Cross multiply
   11,259x = 12,190.50 × 12,190.50
4. Step 4: Simplify right side
   11,259x = 148,608,290.25
5. Step 5: Solve for x
   x = 148,608,290.25/11,259
6. Step 6: Final answer
   x = 13,199.07