Finding the Third Proportional to 10,221.75 and 18,101.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.75 : 18,101.25 = 18,101.25 : x
2. Step 2: Convert to fraction form
   10,221.75/18,101.25 = 18,101.25/x
3. Step 3: Cross multiply
   10,221.75x = 18,101.25 × 18,101.25
4. Step 4: Simplify right side
   10,221.75x = 327,655,251.56
5. Step 5: Solve for x
   x = 327,655,251.56/10,221.75
6. Step 6: Final answer
   x = 32,054.71