Finding the Third Proportional to 33,111 and 64,557

Step by Step Solution

1. Step 1: Write the proportion equation
   33,111 : 64,557 = 64,557 : x
2. Step 2: Convert to fraction form
   33,111/64,557 = 64,557/x
3. Step 3: Cross multiply
   33,111x = 64,557 × 64,557
4. Step 4: Simplify right side
   33,111x = 4,167,606,249
5. Step 5: Solve for x
   x = 4,167,606,249/33,111
6. Step 6: Final answer
   x = 125,867.73