Finding the Third Proportional to 10,833 and 22,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,833 : 22,393.50 = 22,393.50 : x
2. Step 2: Convert to fraction form
   10,833/22,393.50 = 22,393.50/x
3. Step 3: Cross multiply
   10,833x = 22,393.50 × 22,393.50
4. Step 4: Simplify right side
   10,833x = 501,468,842.25
5. Step 5: Solve for x
   x = 501,468,842.25/10,833
6. Step 6: Final answer
   x = 46,290.86