Finding the Third Proportional to 2,272.50 and 4,894.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.50 : 4,894.88 = 4,894.88 : x
2. Step 2: Convert to fraction form
   2,272.50/4,894.88 = 4,894.88/x
3. Step 3: Cross multiply
   2,272.50x = 4,894.88 × 4,894.88
4. Step 4: Simplify right side
   2,272.50x = 23,959,801.27
5. Step 5: Solve for x
   x = 23,959,801.27/2,272.50
6. Step 6: Final answer
   x = 10,543.37