Finding the Third Proportional to 39,578 and 59,271

Step by Step Solution

1. Step 1: Write the proportion equation
   39,578 : 59,271 = 59,271 : x
2. Step 2: Convert to fraction form
   39,578/59,271 = 59,271/x
3. Step 3: Cross multiply
   39,578x = 59,271 × 59,271
4. Step 4: Simplify right side
   39,578x = 3,513,051,441
5. Step 5: Solve for x
   x = 3,513,051,441/39,578
6. Step 6: Final answer
   x = 88,762.73