Finding the Third Proportional to 39,384 and 55,160

Step by Step Solution

1. Step 1: Write the proportion equation
   39,384 : 55,160 = 55,160 : x
2. Step 2: Convert to fraction form
   39,384/55,160 = 55,160/x
3. Step 3: Cross multiply
   39,384x = 55,160 × 55,160
4. Step 4: Simplify right side
   39,384x = 3,042,625,600
5. Step 5: Solve for x
   x = 3,042,625,600/39,384
6. Step 6: Final answer
   x = 77,255.37