Finding the Third Proportional to 2,201 and 5,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,201 : 5,093.50 = 5,093.50 : x
2. Step 2: Convert to fraction form
   2,201/5,093.50 = 5,093.50/x
3. Step 3: Cross multiply
   2,201x = 5,093.50 × 5,093.50
4. Step 4: Simplify right side
   2,201x = 25,943,742.25
5. Step 5: Solve for x
   x = 25,943,742.25/2,201
6. Step 6: Final answer
   x = 11,787.25