Finding the Third Proportional to 10,767 and 14,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767 : 14,467.50 = 14,467.50 : x
2. Step 2: Convert to fraction form
   10,767/14,467.50 = 14,467.50/x
3. Step 3: Cross multiply
   10,767x = 14,467.50 × 14,467.50
4. Step 4: Simplify right side
   10,767x = 209,308,556.25
5. Step 5: Solve for x
   x = 209,308,556.25/10,767
6. Step 6: Final answer
   x = 19,439.82