Finding the Third Proportional to 35,926 and 55,144

Step by Step Solution

1. Step 1: Write the proportion equation
   35,926 : 55,144 = 55,144 : x
2. Step 2: Convert to fraction form
   35,926/55,144 = 55,144/x
3. Step 3: Cross multiply
   35,926x = 55,144 × 55,144
4. Step 4: Simplify right side
   35,926x = 3,040,860,736
5. Step 5: Solve for x
   x = 3,040,860,736/35,926
6. Step 6: Final answer
   x = 84,642.34