Finding the Third Proportional to 35,628.75 and 75,629.81

Step by Step Solution

1. Step 1: Write the proportion equation
   35,628.75 : 75,629.81 = 75,629.81 : x
2. Step 2: Convert to fraction form
   35,628.75/75,629.81 = 75,629.81/x
3. Step 3: Cross multiply
   35,628.75x = 75,629.81 × 75,629.81
4. Step 4: Simplify right side
   35,628.75x = 5,719,868,538.79
5. Step 5: Solve for x
   x = 5,719,868,538.79/35,628.75
6. Step 6: Final answer
   x = 160,540.81