Finding the Third Proportional to 2,362.50 and 5,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.50 : 5,096.25 = 5,096.25 : x
2. Step 2: Convert to fraction form
   2,362.50/5,096.25 = 5,096.25/x
3. Step 3: Cross multiply
   2,362.50x = 5,096.25 × 5,096.25
4. Step 4: Simplify right side
   2,362.50x = 25,971,764.06
5. Step 5: Solve for x
   x = 25,971,764.06/2,362.50
6. Step 6: Final answer
   x = 10,993.34