Finding the Third Proportional to 5,185 and 5,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185 : 5,334.50 = 5,334.50 : x
2. Step 2: Convert to fraction form
   5,185/5,334.50 = 5,334.50/x
3. Step 3: Cross multiply
   5,185x = 5,334.50 × 5,334.50
4. Step 4: Simplify right side
   5,185x = 28,456,890.25
5. Step 5: Solve for x
   x = 28,456,890.25/5,185
6. Step 6: Final answer
   x = 5,488.31