Finding the Third Proportional to 8,897 and 13,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,897 : 13,089.50 = 13,089.50 : x
2. Step 2: Convert to fraction form
   8,897/13,089.50 = 13,089.50/x
3. Step 3: Cross multiply
   8,897x = 13,089.50 × 13,089.50
4. Step 4: Simplify right side
   8,897x = 171,335,010.25
5. Step 5: Solve for x
   x = 171,335,010.25/8,897
6. Step 6: Final answer
   x = 19,257.62