Finding the Third Proportional to 2,513.53 and 5,232.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.53 : 5,232.09 = 5,232.09 : x
2. Step 2: Convert to fraction form
   2,513.53/5,232.09 = 5,232.09/x
3. Step 3: Cross multiply
   2,513.53x = 5,232.09 × 5,232.09
4. Step 4: Simplify right side
   2,513.53x = 27,374,805.01
5. Step 5: Solve for x
   x = 27,374,805.01/2,513.53
6. Step 6: Final answer
   x = 10,890.97