Finding the Third Proportional to 17,727 and 37,827

Step by Step Solution

1. Step 1: Write the proportion equation
   17,727 : 37,827 = 37,827 : x
2. Step 2: Convert to fraction form
   17,727/37,827 = 37,827/x
3. Step 3: Cross multiply
   17,727x = 37,827 × 37,827
4. Step 4: Simplify right side
   17,727x = 1,430,881,929
5. Step 5: Solve for x
   x = 1,430,881,929/17,727
6. Step 6: Final answer
   x = 80,717.66