Finding the Third Proportional to 2,097 and 5,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097 : 5,359.50 = 5,359.50 : x
2. Step 2: Convert to fraction form
   2,097/5,359.50 = 5,359.50/x
3. Step 3: Cross multiply
   2,097x = 5,359.50 × 5,359.50
4. Step 4: Simplify right side
   2,097x = 28,724,240.25
5. Step 5: Solve for x
   x = 28,724,240.25/2,097
6. Step 6: Final answer
   x = 13,697.78