Finding the Third Proportional to 2,111.06 and 5,232.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.06 : 5,232.09 = 5,232.09 : x
2. Step 2: Convert to fraction form
   2,111.06/5,232.09 = 5,232.09/x
3. Step 3: Cross multiply
   2,111.06x = 5,232.09 × 5,232.09
4. Step 4: Simplify right side
   2,111.06x = 27,374,805.01
5. Step 5: Solve for x
   x = 27,374,805.01/2,111.06
6. Step 6: Final answer
   x = 12,967.31