Finding the Third Proportional to 3,477.75 and 7,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,477.75 : 7,594.50 = 7,594.50 : x
2. Step 2: Convert to fraction form
   3,477.75/7,594.50 = 7,594.50/x
3. Step 3: Cross multiply
   3,477.75x = 7,594.50 × 7,594.50
4. Step 4: Simplify right side
   3,477.75x = 57,676,430.25
5. Step 5: Solve for x
   x = 57,676,430.25/3,477.75
6. Step 6: Final answer
   x = 16,584.41