Finding the Third Proportional to 3,460.50 and 7,787.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,460.50 : 7,787.25 = 7,787.25 : x
2. Step 2: Convert to fraction form
   3,460.50/7,787.25 = 7,787.25/x
3. Step 3: Cross multiply
   3,460.50x = 7,787.25 × 7,787.25
4. Step 4: Simplify right side
   3,460.50x = 60,641,262.56
5. Step 5: Solve for x
   x = 60,641,262.56/3,460.50
6. Step 6: Final answer
   x = 17,523.84