Finding the Third Proportional to 35,859.75 and 75,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,859.75 : 75,823.50 = 75,823.50 : x
2. Step 2: Convert to fraction form
   35,859.75/75,823.50 = 75,823.50/x
3. Step 3: Cross multiply
   35,859.75x = 75,823.50 × 75,823.50
4. Step 4: Simplify right side
   35,859.75x = 5,749,203,152.25
5. Step 5: Solve for x
   x = 5,749,203,152.25/35,859.75
6. Step 6: Final answer
   x = 160,324.69