Finding the Third Proportional to 33,768.56 and 46,823.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33,768.56 : 46,823.06 = 46,823.06 : x
2. Step 2: Convert to fraction form
   33,768.56/46,823.06 = 46,823.06/x
3. Step 3: Cross multiply
   33,768.56x = 46,823.06 × 46,823.06
4. Step 4: Simplify right side
   33,768.56x = 2,192,399,181.88
5. Step 5: Solve for x
   x = 2,192,399,181.88/33,768.56
6. Step 6: Final answer
   x = 64,924.27