Finding the Third Proportional to 10,415.25 and 22,735.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.25 : 22,735.69 = 22,735.69 : x
2. Step 2: Convert to fraction form
   10,415.25/22,735.69 = 22,735.69/x
3. Step 3: Cross multiply
   10,415.25x = 22,735.69 × 22,735.69
4. Step 4: Simplify right side
   10,415.25x = 516,911,486.10
5. Step 5: Solve for x
   x = 516,911,486.10/10,415.25
6. Step 6: Final answer
   x = 49,630.25