Finding the Third Proportional to 6,697.50 and 10,221

Step by Step Solution

1. Step 1: Write the proportion equation
   6,697.50 : 10,221 = 10,221 : x
2. Step 2: Convert to fraction form
   6,697.50/10,221 = 10,221/x
3. Step 3: Cross multiply
   6,697.50x = 10,221 × 10,221
4. Step 4: Simplify right side
   6,697.50x = 104,468,841
5. Step 5: Solve for x
   x = 104,468,841/6,697.50
6. Step 6: Final answer
   x = 15,598.18