Finding the Third Proportional to 32,775 and 50,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,775 : 50,116.50 = 50,116.50 : x
2. Step 2: Convert to fraction form
   32,775/50,116.50 = 50,116.50/x
3. Step 3: Cross multiply
   32,775x = 50,116.50 × 50,116.50
4. Step 4: Simplify right side
   32,775x = 2,511,663,572.25
5. Step 5: Solve for x
   x = 2,511,663,572.25/32,775
6. Step 6: Final answer
   x = 76,633.52