Finding the Third Proportional to 10,199.25 and 21,623.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 21,623.25 = 21,623.25 : x
2. Step 2: Convert to fraction form
   10,199.25/21,623.25 = 21,623.25/x
3. Step 3: Cross multiply
   10,199.25x = 21,623.25 × 21,623.25
4. Step 4: Simplify right side
   10,199.25x = 467,564,940.56
5. Step 5: Solve for x
   x = 467,564,940.56/10,199.25
6. Step 6: Final answer
   x = 45,843.07