Finding the Third Proportional to 35,538.75 and 82,270.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 82,270.69 = 82,270.69 : x
2. Step 2: Convert to fraction form
   35,538.75/82,270.69 = 82,270.69/x
3. Step 3: Cross multiply
   35,538.75x = 82,270.69 × 82,270.69
4. Step 4: Simplify right side
   35,538.75x = 6,768,466,021.72
5. Step 5: Solve for x
   x = 6,768,466,021.72/35,538.75
6. Step 6: Final answer
   x = 190,453.13