Finding the Third Proportional to 33,030 and 51,166

Step by Step Solution

1. Step 1: Write the proportion equation
   33,030 : 51,166 = 51,166 : x
2. Step 2: Convert to fraction form
   33,030/51,166 = 51,166/x
3. Step 3: Cross multiply
   33,030x = 51,166 × 51,166
4. Step 4: Simplify right side
   33,030x = 2,617,959,556
5. Step 5: Solve for x
   x = 2,617,959,556/33,030
6. Step 6: Final answer
   x = 79,260.05