Finding the Third Proportional to 39,384 and 57,924

Step by Step Solution

1. Step 1: Write the proportion equation
   39,384 : 57,924 = 57,924 : x
2. Step 2: Convert to fraction form
   39,384/57,924 = 57,924/x
3. Step 3: Cross multiply
   39,384x = 57,924 × 57,924
4. Step 4: Simplify right side
   39,384x = 3,355,189,776
5. Step 5: Solve for x
   x = 3,355,189,776/39,384
6. Step 6: Final answer
   x = 85,191.70