Finding the Third Proportional to 33,035 and 51,010

Step by Step Solution

1. Step 1: Write the proportion equation
   33,035 : 51,010 = 51,010 : x
2. Step 2: Convert to fraction form
   33,035/51,010 = 51,010/x
3. Step 3: Cross multiply
   33,035x = 51,010 × 51,010
4. Step 4: Simplify right side
   33,035x = 2,602,020,100
5. Step 5: Solve for x
   x = 2,602,020,100/33,035
6. Step 6: Final answer
   x = 78,765.55