Finding the Third Proportional to 2,422.50 and 5,124

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.50 : 5,124 = 5,124 : x
2. Step 2: Convert to fraction form
   2,422.50/5,124 = 5,124/x
3. Step 3: Cross multiply
   2,422.50x = 5,124 × 5,124
4. Step 4: Simplify right side
   2,422.50x = 26,255,376
5. Step 5: Solve for x
   x = 26,255,376/2,422.50
6. Step 6: Final answer
   x = 10,838.13