Finding the Third Proportional to 19,833 and 30,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,833 : 30,691.50 = 30,691.50 : x
2. Step 2: Convert to fraction form
   19,833/30,691.50 = 30,691.50/x
3. Step 3: Cross multiply
   19,833x = 30,691.50 × 30,691.50
4. Step 4: Simplify right side
   19,833x = 941,968,172.25
5. Step 5: Solve for x
   x = 941,968,172.25/19,833
6. Step 6: Final answer
   x = 47,494.99