Finding the Third Proportional to 17,822 and 37,852

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 37,852 = 37,852 : x
2. Step 2: Convert to fraction form
   17,822/37,852 = 37,852/x
3. Step 3: Cross multiply
   17,822x = 37,852 × 37,852
4. Step 4: Simplify right side
   17,822x = 1,432,773,904
5. Step 5: Solve for x
   x = 1,432,773,904/17,822
6. Step 6: Final answer
   x = 80,393.55