Finding the Third Proportional to 10,916 and 16,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,916 : 16,788.50 = 16,788.50 : x
2. Step 2: Convert to fraction form
   10,916/16,788.50 = 16,788.50/x
3. Step 3: Cross multiply
   10,916x = 16,788.50 × 16,788.50
4. Step 4: Simplify right side
   10,916x = 281,853,732.25
5. Step 5: Solve for x
   x = 281,853,732.25/10,916
6. Step 6: Final answer
   x = 25,820.24