Finding the Third Proportional to 19,833 and 31,888.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,833 : 31,888.50 = 31,888.50 : x
2. Step 2: Convert to fraction form
   19,833/31,888.50 = 31,888.50/x
3. Step 3: Cross multiply
   19,833x = 31,888.50 × 31,888.50
4. Step 4: Simplify right side
   19,833x = 1,016,876,432.25
5. Step 5: Solve for x
   x = 1,016,876,432.25/19,833
6. Step 6: Final answer
   x = 51,271.94