Finding the Third Proportional to 38,119.50 and 51,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,119.50 : 51,205.50 = 51,205.50 : x
2. Step 2: Convert to fraction form
   38,119.50/51,205.50 = 51,205.50/x
3. Step 3: Cross multiply
   38,119.50x = 51,205.50 × 51,205.50
4. Step 4: Simplify right side
   38,119.50x = 2,622,003,230.25
5. Step 5: Solve for x
   x = 2,622,003,230.25/38,119.50
6. Step 6: Final answer
   x = 68,783.78