Finding the Third Proportional to 6,388 and 10,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,388 : 10,556.50 = 10,556.50 : x
2. Step 2: Convert to fraction form
   6,388/10,556.50 = 10,556.50/x
3. Step 3: Cross multiply
   6,388x = 10,556.50 × 10,556.50
4. Step 4: Simplify right side
   6,388x = 111,439,692.25
5. Step 5: Solve for x
   x = 111,439,692.25/6,388
6. Step 6: Final answer
   x = 17,445.16