Finding the Third Proportional to 2,188 and 3,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188 : 3,273.50 = 3,273.50 : x
2. Step 2: Convert to fraction form
   2,188/3,273.50 = 3,273.50/x
3. Step 3: Cross multiply
   2,188x = 3,273.50 × 3,273.50
4. Step 4: Simplify right side
   2,188x = 10,715,802.25
5. Step 5: Solve for x
   x = 10,715,802.25/2,188
6. Step 6: Final answer
   x = 4,897.53