Finding the Third Proportional to 2,292 and 5,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292 : 5,022.50 = 5,022.50 : x
2. Step 2: Convert to fraction form
   2,292/5,022.50 = 5,022.50/x
3. Step 3: Cross multiply
   2,292x = 5,022.50 × 5,022.50
4. Step 4: Simplify right side
   2,292x = 25,225,506.25
5. Step 5: Solve for x
   x = 25,225,506.25/2,292
6. Step 6: Final answer
   x = 11,005.89