Finding the Third Proportional to 5,400 and 11,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,400 : 11,799.50 = 11,799.50 : x
2. Step 2: Convert to fraction form
   5,400/11,799.50 = 11,799.50/x
3. Step 3: Cross multiply
   5,400x = 11,799.50 × 11,799.50
4. Step 4: Simplify right side
   5,400x = 139,228,200.25
5. Step 5: Solve for x
   x = 139,228,200.25/5,400
6. Step 6: Final answer
   x = 25,783.00