Finding the Third Proportional to 36,780 and 55,440

Step by Step Solution

1. Step 1: Write the proportion equation
   36,780 : 55,440 = 55,440 : x
2. Step 2: Convert to fraction form
   36,780/55,440 = 55,440/x
3. Step 3: Cross multiply
   36,780x = 55,440 × 55,440
4. Step 4: Simplify right side
   36,780x = 3,073,593,600
5. Step 5: Solve for x
   x = 3,073,593,600/36,780
6. Step 6: Final answer
   x = 83,566.98