Finding the Third Proportional to 35,817.75 and 57,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,817.75 : 57,642.75 = 57,642.75 : x
2. Step 2: Convert to fraction form
   35,817.75/57,642.75 = 57,642.75/x
3. Step 3: Cross multiply
   35,817.75x = 57,642.75 × 57,642.75
4. Step 4: Simplify right side
   35,817.75x = 3,322,686,627.56
5. Step 5: Solve for x
   x = 3,322,686,627.56/35,817.75
6. Step 6: Final answer
   x = 92,766.48