Finding the Third Proportional to 16,767 and 21,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,767 : 21,505.50 = 21,505.50 : x
2. Step 2: Convert to fraction form
   16,767/21,505.50 = 21,505.50/x
3. Step 3: Cross multiply
   16,767x = 21,505.50 × 21,505.50
4. Step 4: Simplify right side
   16,767x = 462,486,530.25
5. Step 5: Solve for x
   x = 462,486,530.25/16,767
6. Step 6: Final answer
   x = 27,583.14