Finding the Third Proportional to 33,720 and 51,012

Step by Step Solution

1. Step 1: Write the proportion equation
   33,720 : 51,012 = 51,012 : x
2. Step 2: Convert to fraction form
   33,720/51,012 = 51,012/x
3. Step 3: Cross multiply
   33,720x = 51,012 × 51,012
4. Step 4: Simplify right side
   33,720x = 2,602,224,144
5. Step 5: Solve for x
   x = 2,602,224,144/33,720
6. Step 6: Final answer
   x = 77,171.53