Finding the Third Proportional to 4,527.25 and 10,026.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,527.25 : 10,026.25 = 10,026.25 : x
2. Step 2: Convert to fraction form
   4,527.25/10,026.25 = 10,026.25/x
3. Step 3: Cross multiply
   4,527.25x = 10,026.25 × 10,026.25
4. Step 4: Simplify right side
   4,527.25x = 100,525,689.06
5. Step 5: Solve for x
   x = 100,525,689.06/4,527.25
6. Step 6: Final answer
   x = 22,204.58