Finding the Third Proportional to 19,833 and 30,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,833 : 30,775.50 = 30,775.50 : x
2. Step 2: Convert to fraction form
   19,833/30,775.50 = 30,775.50/x
3. Step 3: Cross multiply
   19,833x = 30,775.50 × 30,775.50
4. Step 4: Simplify right side
   19,833x = 947,131,400.25
5. Step 5: Solve for x
   x = 947,131,400.25/19,833
6. Step 6: Final answer
   x = 47,755.33