Finding the Third Proportional to 8,581.50 and 13,038.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,581.50 : 13,038.75 = 13,038.75 : x
2. Step 2: Convert to fraction form
   8,581.50/13,038.75 = 13,038.75/x
3. Step 3: Cross multiply
   8,581.50x = 13,038.75 × 13,038.75
4. Step 4: Simplify right side
   8,581.50x = 170,009,001.56
5. Step 5: Solve for x
   x = 170,009,001.56/8,581.50
6. Step 6: Final answer
   x = 19,811.11