Finding the Third Proportional to 33,538 and 55,501

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 55,501 = 55,501 : x
2. Step 2: Convert to fraction form
   33,538/55,501 = 55,501/x
3. Step 3: Cross multiply
   33,538x = 55,501 × 55,501
4. Step 4: Simplify right side
   33,538x = 3,080,361,001
5. Step 5: Solve for x
   x = 3,080,361,001/33,538
6. Step 6: Final answer
   x = 91,846.89