Finding the Third Proportional to 35,850 and 76,626

Step by Step Solution

1. Step 1: Write the proportion equation
   35,850 : 76,626 = 76,626 : x
2. Step 2: Convert to fraction form
   35,850/76,626 = 76,626/x
3. Step 3: Cross multiply
   35,850x = 76,626 × 76,626
4. Step 4: Simplify right side
   35,850x = 5,871,543,876
5. Step 5: Solve for x
   x = 5,871,543,876/35,850
6. Step 6: Final answer
   x = 163,780.86