Finding the Third Proportional to 33,275.25 and 80,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,275.25 : 80,302.50 = 80,302.50 : x
2. Step 2: Convert to fraction form
   33,275.25/80,302.50 = 80,302.50/x
3. Step 3: Cross multiply
   33,275.25x = 80,302.50 × 80,302.50
4. Step 4: Simplify right side
   33,275.25x = 6,448,491,506.25
5. Step 5: Solve for x
   x = 6,448,491,506.25/33,275.25
6. Step 6: Final answer
   x = 193,792.43