Finding the Third Proportional to 37,970 and 82,492

Step by Step Solution

1. Step 1: Write the proportion equation
   37,970 : 82,492 = 82,492 : x
2. Step 2: Convert to fraction form
   37,970/82,492 = 82,492/x
3. Step 3: Cross multiply
   37,970x = 82,492 × 82,492
4. Step 4: Simplify right side
   37,970x = 6,804,930,064
5. Step 5: Solve for x
   x = 6,804,930,064/37,970
6. Step 6: Final answer
   x = 179,218.60