Finding the Third Proportional to 10,221 and 16,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221 : 16,303.50 = 16,303.50 : x
2. Step 2: Convert to fraction form
   10,221/16,303.50 = 16,303.50/x
3. Step 3: Cross multiply
   10,221x = 16,303.50 × 16,303.50
4. Step 4: Simplify right side
   10,221x = 265,804,112.25
5. Step 5: Solve for x
   x = 265,804,112.25/10,221
6. Step 6: Final answer
   x = 26,005.69