Finding the Third Proportional to 8,091 and 12,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091 : 12,964.50 = 12,964.50 : x
2. Step 2: Convert to fraction form
   8,091/12,964.50 = 12,964.50/x
3. Step 3: Cross multiply
   8,091x = 12,964.50 × 12,964.50
4. Step 4: Simplify right side
   8,091x = 168,078,260.25
5. Step 5: Solve for x
   x = 168,078,260.25/8,091
6. Step 6: Final answer
   x = 20,773.48