Finding the Third Proportional to 35,876 and 55,328

Step by Step Solution

1. Step 1: Write the proportion equation
   35,876 : 55,328 = 55,328 : x
2. Step 2: Convert to fraction form
   35,876/55,328 = 55,328/x
3. Step 3: Cross multiply
   35,876x = 55,328 × 55,328
4. Step 4: Simplify right side
   35,876x = 3,061,187,584
5. Step 5: Solve for x
   x = 3,061,187,584/35,876
6. Step 6: Final answer
   x = 85,326.89