Finding the Third Proportional to 34,649 and 50,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,649 : 50,677.50 = 50,677.50 : x
2. Step 2: Convert to fraction form
   34,649/50,677.50 = 50,677.50/x
3. Step 3: Cross multiply
   34,649x = 50,677.50 × 50,677.50
4. Step 4: Simplify right side
   34,649x = 2,568,209,006.25
5. Step 5: Solve for x
   x = 2,568,209,006.25/34,649
6. Step 6: Final answer
   x = 74,120.73