Finding the Third Proportional to 33,538 and 55,236

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 55,236 = 55,236 : x
2. Step 2: Convert to fraction form
   33,538/55,236 = 55,236/x
3. Step 3: Cross multiply
   33,538x = 55,236 × 55,236
4. Step 4: Simplify right side
   33,538x = 3,051,015,696
5. Step 5: Solve for x
   x = 3,051,015,696/33,538
6. Step 6: Final answer
   x = 90,971.90