Finding the Third Proportional to 2,317.22 and 4,787.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,317.22 : 4,787.72 = 4,787.72 : x
2. Step 2: Convert to fraction form
   2,317.22/4,787.72 = 4,787.72/x
3. Step 3: Cross multiply
   2,317.22x = 4,787.72 × 4,787.72
4. Step 4: Simplify right side
   2,317.22x = 22,922,250.83
5. Step 5: Solve for x
   x = 22,922,250.83/2,317.22
6. Step 6: Final answer
   x = 9,892.14