Finding the Third Proportional to 2,262.38 and 5,200.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.38 : 5,200.31 = 5,200.31 : x
2. Step 2: Convert to fraction form
   2,262.38/5,200.31 = 5,200.31/x
3. Step 3: Cross multiply
   2,262.38x = 5,200.31 × 5,200.31
4. Step 4: Simplify right side
   2,262.38x = 27,043,250.10
5. Step 5: Solve for x
   x = 27,043,250.10/2,262.38
6. Step 6: Final answer
   x = 11,953.48