Finding the Third Proportional to 2,181 and 5,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,181 : 5,422.50 = 5,422.50 : x
2. Step 2: Convert to fraction form
   2,181/5,422.50 = 5,422.50/x
3. Step 3: Cross multiply
   2,181x = 5,422.50 × 5,422.50
4. Step 4: Simplify right side
   2,181x = 29,403,506.25
5. Step 5: Solve for x
   x = 29,403,506.25/2,181
6. Step 6: Final answer
   x = 13,481.66