Finding the Third Proportional to 39,606 and 54,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,606 : 54,577.50 = 54,577.50 : x
2. Step 2: Convert to fraction form
   39,606/54,577.50 = 54,577.50/x
3. Step 3: Cross multiply
   39,606x = 54,577.50 × 54,577.50
4. Step 4: Simplify right side
   39,606x = 2,978,703,506.25
5. Step 5: Solve for x
   x = 2,978,703,506.25/39,606
6. Step 6: Final answer
   x = 75,208.39