Finding the Third Proportional to 6,556.50 and 12,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,556.50 : 12,775.50 = 12,775.50 : x
2. Step 2: Convert to fraction form
   6,556.50/12,775.50 = 12,775.50/x
3. Step 3: Cross multiply
   6,556.50x = 12,775.50 × 12,775.50
4. Step 4: Simplify right side
   6,556.50x = 163,213,400.25
5. Step 5: Solve for x
   x = 163,213,400.25/6,556.50
6. Step 6: Final answer
   x = 24,893.37