Finding the Third Proportional to 2,264.63 and 4,824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.63 : 4,824.56 = 4,824.56 : x
2. Step 2: Convert to fraction form
   2,264.63/4,824.56 = 4,824.56/x
3. Step 3: Cross multiply
   2,264.63x = 4,824.56 × 4,824.56
4. Step 4: Simplify right side
   2,264.63x = 23,276,403.32
5. Step 5: Solve for x
   x = 23,276,403.32/2,264.63
6. Step 6: Final answer
   x = 10,278.26