Finding the Third Proportional to 37,790 and 82,240

Step by Step Solution

1. Step 1: Write the proportion equation
   37,790 : 82,240 = 82,240 : x
2. Step 2: Convert to fraction form
   37,790/82,240 = 82,240/x
3. Step 3: Cross multiply
   37,790x = 82,240 × 82,240
4. Step 4: Simplify right side
   37,790x = 6,763,417,600
5. Step 5: Solve for x
   x = 6,763,417,600/37,790
6. Step 6: Final answer
   x = 178,973.74