Finding the Third Proportional to 35.83 and 76.89

Step by Step Solution

1. Step 1: Write the proportion equation
   35.83 : 76.89 = 76.89 : x
2. Step 2: Convert to fraction form
   35.83/76.89 = 76.89/x
3. Step 3: Cross multiply
   35.83x = 76.89 × 76.89
4. Step 4: Simplify right side
   35.83x = 5,911.57
5. Step 5: Solve for x
   x = 5,911.57/35.83
6. Step 6: Final answer
   x = 164.98