Finding the Third Proportional to 39,969 and 57,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,969 : 57,574.50 = 57,574.50 : x
2. Step 2: Convert to fraction form
   39,969/57,574.50 = 57,574.50/x
3. Step 3: Cross multiply
   39,969x = 57,574.50 × 57,574.50
4. Step 4: Simplify right side
   39,969x = 3,314,823,050.25
5. Step 5: Solve for x
   x = 3,314,823,050.25/39,969
6. Step 6: Final answer
   x = 82,934.85