Finding the Third Proportional to 39,144 and 55,416

Step by Step Solution

1. Step 1: Write the proportion equation
   39,144 : 55,416 = 55,416 : x
2. Step 2: Convert to fraction form
   39,144/55,416 = 55,416/x
3. Step 3: Cross multiply
   39,144x = 55,416 × 55,416
4. Step 4: Simplify right side
   39,144x = 3,070,933,056
5. Step 5: Solve for x
   x = 3,070,933,056/39,144
6. Step 6: Final answer
   x = 78,452.20