Finding the Third Proportional to 23,825.25 and 35,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,825.25 : 35,622.75 = 35,622.75 : x
2. Step 2: Convert to fraction form
   23,825.25/35,622.75 = 35,622.75/x
3. Step 3: Cross multiply
   23,825.25x = 35,622.75 × 35,622.75
4. Step 4: Simplify right side
   23,825.25x = 1,268,980,317.56
5. Step 5: Solve for x
   x = 1,268,980,317.56/23,825.25
6. Step 6: Final answer
   x = 53,261.99