Finding the Third Proportional to 37,720 and 82,970

Step by Step Solution

1. Step 1: Write the proportion equation
   37,720 : 82,970 = 82,970 : x
2. Step 2: Convert to fraction form
   37,720/82,970 = 82,970/x
3. Step 3: Cross multiply
   37,720x = 82,970 × 82,970
4. Step 4: Simplify right side
   37,720x = 6,884,020,900
5. Step 5: Solve for x
   x = 6,884,020,900/37,720
6. Step 6: Final answer
   x = 182,503.21