Finding the Third Proportional to 5,308.50 and 5,997

Step by Step Solution

1. Step 1: Write the proportion equation
   5,308.50 : 5,997 = 5,997 : x
2. Step 2: Convert to fraction form
   5,308.50/5,997 = 5,997/x
3. Step 3: Cross multiply
   5,308.50x = 5,997 × 5,997
4. Step 4: Simplify right side
   5,308.50x = 35,964,009
5. Step 5: Solve for x
   x = 35,964,009/5,308.50
6. Step 6: Final answer
   x = 6,774.80