Finding the Third Proportional to 10,408.50 and 16,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.50 : 16,566.75 = 16,566.75 : x
2. Step 2: Convert to fraction form
   10,408.50/16,566.75 = 16,566.75/x
3. Step 3: Cross multiply
   10,408.50x = 16,566.75 × 16,566.75
4. Step 4: Simplify right side
   10,408.50x = 274,457,205.56
5. Step 5: Solve for x
   x = 274,457,205.56/10,408.50
6. Step 6: Final answer
   x = 26,368.56