Finding the Third Proportional to 37,720 and 82,688

Step by Step Solution

1. Step 1: Write the proportion equation
   37,720 : 82,688 = 82,688 : x
2. Step 2: Convert to fraction form
   37,720/82,688 = 82,688/x
3. Step 3: Cross multiply
   37,720x = 82,688 × 82,688
4. Step 4: Simplify right side
   37,720x = 6,837,305,344
5. Step 5: Solve for x
   x = 6,837,305,344/37,720
6. Step 6: Final answer
   x = 181,264.72