Finding the Third Proportional to 4,137.75 and 10,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,137.75 : 10,820.25 = 10,820.25 : x
2. Step 2: Convert to fraction form
   4,137.75/10,820.25 = 10,820.25/x
3. Step 3: Cross multiply
   4,137.75x = 10,820.25 × 10,820.25
4. Step 4: Simplify right side
   4,137.75x = 117,077,810.06
5. Step 5: Solve for x
   x = 117,077,810.06/4,137.75
6. Step 6: Final answer
   x = 28,295.04