Finding the Third Proportional to 37,442 and 82,336

Step by Step Solution

1. Step 1: Write the proportion equation
   37,442 : 82,336 = 82,336 : x
2. Step 2: Convert to fraction form
   37,442/82,336 = 82,336/x
3. Step 3: Cross multiply
   37,442x = 82,336 × 82,336
4. Step 4: Simplify right side
   37,442x = 6,779,216,896
5. Step 5: Solve for x
   x = 6,779,216,896/37,442
6. Step 6: Final answer
   x = 181,059.16