Finding the Third Proportional to 39,759 and 53,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,759 : 53,806.50 = 53,806.50 : x
2. Step 2: Convert to fraction form
   39,759/53,806.50 = 53,806.50/x
3. Step 3: Cross multiply
   39,759x = 53,806.50 × 53,806.50
4. Step 4: Simplify right side
   39,759x = 2,895,139,442.25
5. Step 5: Solve for x
   x = 2,895,139,442.25/39,759
6. Step 6: Final answer
   x = 72,817.21