Finding the Third Proportional to 19,822 and 27,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,822 : 27,181.50 = 27,181.50 : x
2. Step 2: Convert to fraction form
   19,822/27,181.50 = 27,181.50/x
3. Step 3: Cross multiply
   19,822x = 27,181.50 × 27,181.50
4. Step 4: Simplify right side
   19,822x = 738,833,942.25
5. Step 5: Solve for x
   x = 738,833,942.25/19,822
6. Step 6: Final answer
   x = 37,273.43