Finding the Third Proportional to 2,456 and 4,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 4,787.50 = 4,787.50 : x
2. Step 2: Convert to fraction form
   2,456/4,787.50 = 4,787.50/x
3. Step 3: Cross multiply
   2,456x = 4,787.50 × 4,787.50
4. Step 4: Simplify right side
   2,456x = 22,920,156.25
5. Step 5: Solve for x
   x = 22,920,156.25/2,456
6. Step 6: Final answer
   x = 9,332.31