Finding the Third Proportional to 25,150.50 and 35,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,150.50 : 35,538.75 = 35,538.75 : x
2. Step 2: Convert to fraction form
   25,150.50/35,538.75 = 35,538.75/x
3. Step 3: Cross multiply
   25,150.50x = 35,538.75 × 35,538.75
4. Step 4: Simplify right side
   25,150.50x = 1,263,002,751.56
5. Step 5: Solve for x
   x = 1,263,002,751.56/25,150.50
6. Step 6: Final answer
   x = 50,217.80