Finding the Third Proportional to 37,806 and 82,520

Step by Step Solution

1. Step 1: Write the proportion equation
   37,806 : 82,520 = 82,520 : x
2. Step 2: Convert to fraction form
   37,806/82,520 = 82,520/x
3. Step 3: Cross multiply
   37,806x = 82,520 × 82,520
4. Step 4: Simplify right side
   37,806x = 6,809,550,400
5. Step 5: Solve for x
   x = 6,809,550,400/37,806
6. Step 6: Final answer
   x = 180,118.25