Finding the Third Proportional to 37,760 and 55,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,760 : 55,280 = 55,280 : x
2. Step 2: Convert to fraction form
   37,760/55,280 = 55,280/x
3. Step 3: Cross multiply
   37,760x = 55,280 × 55,280
4. Step 4: Simplify right side
   37,760x = 3,055,878,400
5. Step 5: Solve for x
   x = 3,055,878,400/37,760
6. Step 6: Final answer
   x = 80,928.98