Finding the Third Proportional to 39,781 and 55,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,781 : 55,765.50 = 55,765.50 : x
2. Step 2: Convert to fraction form
   39,781/55,765.50 = 55,765.50/x
3. Step 3: Cross multiply
   39,781x = 55,765.50 × 55,765.50
4. Step 4: Simplify right side
   39,781x = 3,109,790,990.25
5. Step 5: Solve for x
   x = 3,109,790,990.25/39,781
6. Step 6: Final answer
   x = 78,172.77