Finding the Third Proportional to 37,110 and 77,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,110 : 77,280 = 77,280 : x
2. Step 2: Convert to fraction form
   37,110/77,280 = 77,280/x
3. Step 3: Cross multiply
   37,110x = 77,280 × 77,280
4. Step 4: Simplify right side
   37,110x = 5,972,198,400
5. Step 5: Solve for x
   x = 5,972,198,400/37,110
6. Step 6: Final answer
   x = 160,932.32