Finding the Third Proportional to 5,406.75 and 5,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,406.75 : 5,845.50 = 5,845.50 : x
2. Step 2: Convert to fraction form
   5,406.75/5,845.50 = 5,845.50/x
3. Step 3: Cross multiply
   5,406.75x = 5,845.50 × 5,845.50
4. Step 4: Simplify right side
   5,406.75x = 34,169,870.25
5. Step 5: Solve for x
   x = 34,169,870.25/5,406.75
6. Step 6: Final answer
   x = 6,319.85