Finding the Third Proportional to 33,036 and 51,014

Step by Step Solution

1. Step 1: Write the proportion equation
   33,036 : 51,014 = 51,014 : x
2. Step 2: Convert to fraction form
   33,036/51,014 = 51,014/x
3. Step 3: Cross multiply
   33,036x = 51,014 × 51,014
4. Step 4: Simplify right side
   33,036x = 2,602,428,196
5. Step 5: Solve for x
   x = 2,602,428,196/33,036
6. Step 6: Final answer
   x = 78,775.52