Finding the Third Proportional to 37,112 and 77,284

Step by Step Solution

1. Step 1: Write the proportion equation
   37,112 : 77,284 = 77,284 : x
2. Step 2: Convert to fraction form
   37,112/77,284 = 77,284/x
3. Step 3: Cross multiply
   37,112x = 77,284 × 77,284
4. Step 4: Simplify right side
   37,112x = 5,972,816,656
5. Step 5: Solve for x
   x = 5,972,816,656/37,112
6. Step 6: Final answer
   x = 160,940.31