Finding the Third Proportional to 19,739 and 37,659

Step by Step Solution

1. Step 1: Write the proportion equation
   19,739 : 37,659 = 37,659 : x
2. Step 2: Convert to fraction form
   19,739/37,659 = 37,659/x
3. Step 3: Cross multiply
   19,739x = 37,659 × 37,659
4. Step 4: Simplify right side
   19,739x = 1,418,200,281
5. Step 5: Solve for x
   x = 1,418,200,281/19,739
6. Step 6: Final answer
   x = 71,847.63