Finding the Third Proportional to 10,874.25 and 23,820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874.25 : 23,820.75 = 23,820.75 : x
2. Step 2: Convert to fraction form
   10,874.25/23,820.75 = 23,820.75/x
3. Step 3: Cross multiply
   10,874.25x = 23,820.75 × 23,820.75
4. Step 4: Simplify right side
   10,874.25x = 567,428,130.56
5. Step 5: Solve for x
   x = 567,428,130.56/10,874.25
6. Step 6: Final answer
   x = 52,180.90