Finding the Third Proportional to 35,766 and 55,353

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 55,353 = 55,353 : x
2. Step 2: Convert to fraction form
   35,766/55,353 = 55,353/x
3. Step 3: Cross multiply
   35,766x = 55,353 × 55,353
4. Step 4: Simplify right side
   35,766x = 3,063,954,609
5. Step 5: Solve for x
   x = 3,063,954,609/35,766
6. Step 6: Final answer
   x = 85,666.68