Finding the Third Proportional to 32,775 and 49,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32,775 : 49,766.63 = 49,766.63 : x
2. Step 2: Convert to fraction form
   32,775/49,766.63 = 49,766.63/x
3. Step 3: Cross multiply
   32,775x = 49,766.63 × 49,766.63
4. Step 4: Simplify right side
   32,775x = 2,476,716,963.89
5. Step 5: Solve for x
   x = 2,476,716,963.89/32,775
6. Step 6: Final answer
   x = 75,567.26