Finding the Third Proportional to 33,469.50 and 51,824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,469.50 : 51,824.25 = 51,824.25 : x
2. Step 2: Convert to fraction form
   33,469.50/51,824.25 = 51,824.25/x
3. Step 3: Cross multiply
   33,469.50x = 51,824.25 × 51,824.25
4. Step 4: Simplify right side
   33,469.50x = 2,685,752,888.06
5. Step 5: Solve for x
   x = 2,685,752,888.06/33,469.50
6. Step 6: Final answer
   x = 80,244.79