Finding the Third Proportional to 37,470 and 82,422

Step by Step Solution

1. Step 1: Write the proportion equation
   37,470 : 82,422 = 82,422 : x
2. Step 2: Convert to fraction form
   37,470/82,422 = 82,422/x
3. Step 3: Cross multiply
   37,470x = 82,422 × 82,422
4. Step 4: Simplify right side
   37,470x = 6,793,386,084
5. Step 5: Solve for x
   x = 6,793,386,084/37,470
6. Step 6: Final answer
   x = 181,302.00