Finding the Third Proportional to 50,411.50 and 76,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,411.50 : 76,022.50 = 76,022.50 : x
2. Step 2: Convert to fraction form
   50,411.50/76,022.50 = 76,022.50/x
3. Step 3: Cross multiply
   50,411.50x = 76,022.50 × 76,022.50
4. Step 4: Simplify right side
   50,411.50x = 5,779,420,506.25
5. Step 5: Solve for x
   x = 5,779,420,506.25/50,411.50
6. Step 6: Final answer
   x = 114,644.88