Finding the Third Proportional to 10,221.75 and 21,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.75 : 21,899.25 = 21,899.25 : x
2. Step 2: Convert to fraction form
   10,221.75/21,899.25 = 21,899.25/x
3. Step 3: Cross multiply
   10,221.75x = 21,899.25 × 21,899.25
4. Step 4: Simplify right side
   10,221.75x = 479,577,150.56
5. Step 5: Solve for x
   x = 479,577,150.56/10,221.75
6. Step 6: Final answer
   x = 46,917.32