Finding the Third Proportional to 39,577.50 and 57,980.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,577.50 : 57,980.25 = 57,980.25 : x
2. Step 2: Convert to fraction form
   39,577.50/57,980.25 = 57,980.25/x
3. Step 3: Cross multiply
   39,577.50x = 57,980.25 × 57,980.25
4. Step 4: Simplify right side
   39,577.50x = 3,361,709,390.06
5. Step 5: Solve for x
   x = 3,361,709,390.06/39,577.50
6. Step 6: Final answer
   x = 84,939.91