Finding the Third Proportional to 3,331 and 5,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,331 : 5,111.50 = 5,111.50 : x
2. Step 2: Convert to fraction form
   3,331/5,111.50 = 5,111.50/x
3. Step 3: Cross multiply
   3,331x = 5,111.50 × 5,111.50
4. Step 4: Simplify right side
   3,331x = 26,127,432.25
5. Step 5: Solve for x
   x = 26,127,432.25/3,331
6. Step 6: Final answer
   x = 7,843.72