Finding the Third Proportional to 11,822 and 19,033

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822 : 19,033 = 19,033 : x
2. Step 2: Convert to fraction form
   11,822/19,033 = 19,033/x
3. Step 3: Cross multiply
   11,822x = 19,033 × 19,033
4. Step 4: Simplify right side
   11,822x = 362,255,089
5. Step 5: Solve for x
   x = 362,255,089/11,822
6. Step 6: Final answer
   x = 30,642.45