Finding the Third Proportional to 2,346.38 and 5,006.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,346.38 : 5,006.25 = 5,006.25 : x
2. Step 2: Convert to fraction form
   2,346.38/5,006.25 = 5,006.25/x
3. Step 3: Cross multiply
   2,346.38x = 5,006.25 × 5,006.25
4. Step 4: Simplify right side
   2,346.38x = 25,062,539.06
5. Step 5: Solve for x
   x = 25,062,539.06/2,346.38
6. Step 6: Final answer
   x = 10,681.39