Finding the Third Proportional to 33,681 and 51,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,681 : 51,544.50 = 51,544.50 : x
2. Step 2: Convert to fraction form
   33,681/51,544.50 = 51,544.50/x
3. Step 3: Cross multiply
   33,681x = 51,544.50 × 51,544.50
4. Step 4: Simplify right side
   33,681x = 2,656,835,480.25
5. Step 5: Solve for x
   x = 2,656,835,480.25/33,681
6. Step 6: Final answer
   x = 78,882.32