Finding the Third Proportional to 10,786.50 and 14,563.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.50 : 14,563.13 = 14,563.13 : x
2. Step 2: Convert to fraction form
   10,786.50/14,563.13 = 14,563.13/x
3. Step 3: Cross multiply
   10,786.50x = 14,563.13 × 14,563.13
4. Step 4: Simplify right side
   10,786.50x = 212,084,609.77
5. Step 5: Solve for x
   x = 212,084,609.77/10,786.50
6. Step 6: Final answer
   x = 19,662.04