Finding the Third Proportional to 33,963 and 51,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,963 : 51,673.50 = 51,673.50 : x
2. Step 2: Convert to fraction form
   33,963/51,673.50 = 51,673.50/x
3. Step 3: Cross multiply
   33,963x = 51,673.50 × 51,673.50
4. Step 4: Simplify right side
   33,963x = 2,670,150,602.25
5. Step 5: Solve for x
   x = 2,670,150,602.25/33,963
6. Step 6: Final answer
   x = 78,619.40