Finding the Third Proportional to 30,768 and 41,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,768 : 41,764.50 = 41,764.50 : x
2. Step 2: Convert to fraction form
   30,768/41,764.50 = 41,764.50/x
3. Step 3: Cross multiply
   30,768x = 41,764.50 × 41,764.50
4. Step 4: Simplify right side
   30,768x = 1,744,273,460.25
5. Step 5: Solve for x
   x = 1,744,273,460.25/30,768
6. Step 6: Final answer
   x = 56,691.16