Finding the Third Proportional to 6,144 and 12,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 12,820.50 = 12,820.50 : x
2. Step 2: Convert to fraction form
   6,144/12,820.50 = 12,820.50/x
3. Step 3: Cross multiply
   6,144x = 12,820.50 × 12,820.50
4. Step 4: Simplify right side
   6,144x = 164,365,220.25
5. Step 5: Solve for x
   x = 164,365,220.25/6,144
6. Step 6: Final answer
   x = 26,752.15