Finding the Third Proportional to 35,781.75 and 86,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,781.75 : 86,568.75 = 86,568.75 : x
2. Step 2: Convert to fraction form
   35,781.75/86,568.75 = 86,568.75/x
3. Step 3: Cross multiply
   35,781.75x = 86,568.75 × 86,568.75
4. Step 4: Simplify right side
   35,781.75x = 7,494,148,476.56
5. Step 5: Solve for x
   x = 7,494,148,476.56/35,781.75
6. Step 6: Final answer
   x = 209,440.52