Finding the Third Proportional to 35,091.75 and 76,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,091.75 : 76,743.75 = 76,743.75 : x
2. Step 2: Convert to fraction form
   35,091.75/76,743.75 = 76,743.75/x
3. Step 3: Cross multiply
   35,091.75x = 76,743.75 × 76,743.75
4. Step 4: Simplify right side
   35,091.75x = 5,889,603,164.06
5. Step 5: Solve for x
   x = 5,889,603,164.06/35,091.75
6. Step 6: Final answer
   x = 167,834.41