Finding the Third Proportional to 33,748.50 and 51,644.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,748.50 : 51,644.25 = 51,644.25 : x
2. Step 2: Convert to fraction form
   33,748.50/51,644.25 = 51,644.25/x
3. Step 3: Cross multiply
   33,748.50x = 51,644.25 × 51,644.25
4. Step 4: Simplify right side
   33,748.50x = 2,667,128,558.06
5. Step 5: Solve for x
   x = 2,667,128,558.06/33,748.50
6. Step 6: Final answer
   x = 79,029.54