Finding the Third Proportional to 33,980 and 51,719.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,980 : 51,719.25 = 51,719.25 : x
2. Step 2: Convert to fraction form
   33,980/51,719.25 = 51,719.25/x
3. Step 3: Cross multiply
   33,980x = 51,719.25 × 51,719.25
4. Step 4: Simplify right side
   33,980x = 2,674,880,820.56
5. Step 5: Solve for x
   x = 2,674,880,820.56/33,980
6. Step 6: Final answer
   x = 78,719.27