Finding the Third Proportional to 10,538.25 and 22,373.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.25 : 22,373.25 = 22,373.25 : x
2. Step 2: Convert to fraction form
   10,538.25/22,373.25 = 22,373.25/x
3. Step 3: Cross multiply
   10,538.25x = 22,373.25 × 22,373.25
4. Step 4: Simplify right side
   10,538.25x = 500,562,315.56
5. Step 5: Solve for x
   x = 500,562,315.56/10,538.25
6. Step 6: Final answer
   x = 47,499.57