Finding the Third Proportional to 8,959.50 and 13,091.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,959.50 : 13,091.63 = 13,091.63 : x
2. Step 2: Convert to fraction form
   8,959.50/13,091.63 = 13,091.63/x
3. Step 3: Cross multiply
   8,959.50x = 13,091.63 × 13,091.63
4. Step 4: Simplify right side
   8,959.50x = 171,390,645.14
5. Step 5: Solve for x
   x = 171,390,645.14/8,959.50
6. Step 6: Final answer
   x = 19,129.49