Finding the Third Proportional to 850 and 2,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   850 : 2,111.50 = 2,111.50 : x
2. Step 2: Convert to fraction form
   850/2,111.50 = 2,111.50/x
3. Step 3: Cross multiply
   850x = 2,111.50 × 2,111.50
4. Step 4: Simplify right side
   850x = 4,458,432.25
5. Step 5: Solve for x
   x = 4,458,432.25/850
6. Step 6: Final answer
   x = 5,245.21