Finding the Third Proportional to 2,366 and 5,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366 : 5,042.50 = 5,042.50 : x
2. Step 2: Convert to fraction form
   2,366/5,042.50 = 5,042.50/x
3. Step 3: Cross multiply
   2,366x = 5,042.50 × 5,042.50
4. Step 4: Simplify right side
   2,366x = 25,426,806.25
5. Step 5: Solve for x
   x = 25,426,806.25/2,366
6. Step 6: Final answer
   x = 10,746.75