Finding the Third Proportional to 10,091 and 16,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091 : 16,676.50 = 16,676.50 : x
2. Step 2: Convert to fraction form
   10,091/16,676.50 = 16,676.50/x
3. Step 3: Cross multiply
   10,091x = 16,676.50 × 16,676.50
4. Step 4: Simplify right side
   10,091x = 278,105,652.25
5. Step 5: Solve for x
   x = 278,105,652.25/10,091
6. Step 6: Final answer
   x = 27,559.77