Finding the Third Proportional to 6,744 and 12,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 12,961.50 = 12,961.50 : x
2. Step 2: Convert to fraction form
   6,744/12,961.50 = 12,961.50/x
3. Step 3: Cross multiply
   6,744x = 12,961.50 × 12,961.50
4. Step 4: Simplify right side
   6,744x = 168,000,482.25
5. Step 5: Solve for x
   x = 168,000,482.25/6,744
6. Step 6: Final answer
   x = 24,911.10