Finding the Third Proportional to 36,960 and 55,416

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 55,416 = 55,416 : x
2. Step 2: Convert to fraction form
   36,960/55,416 = 55,416/x
3. Step 3: Cross multiply
   36,960x = 55,416 × 55,416
4. Step 4: Simplify right side
   36,960x = 3,070,933,056
5. Step 5: Solve for x
   x = 3,070,933,056/36,960
6. Step 6: Final answer
   x = 83,088.02