Finding the Third Proportional to 39,204 and 59,580

Step by Step Solution

1. Step 1: Write the proportion equation
   39,204 : 59,580 = 59,580 : x
2. Step 2: Convert to fraction form
   39,204/59,580 = 59,580/x
3. Step 3: Cross multiply
   39,204x = 59,580 × 59,580
4. Step 4: Simplify right side
   39,204x = 3,549,776,400
5. Step 5: Solve for x
   x = 3,549,776,400/39,204
6. Step 6: Final answer
   x = 90,546.28