Finding the Third Proportional to 10,226 and 21,630.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226 : 21,630.75 = 21,630.75 : x
2. Step 2: Convert to fraction form
   10,226/21,630.75 = 21,630.75/x
3. Step 3: Cross multiply
   10,226x = 21,630.75 × 21,630.75
4. Step 4: Simplify right side
   10,226x = 467,889,345.56
5. Step 5: Solve for x
   x = 467,889,345.56/10,226
6. Step 6: Final answer
   x = 45,754.87