Finding the Third Proportional to 5,705.25 and 8,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,705.25 : 8,533.50 = 8,533.50 : x
2. Step 2: Convert to fraction form
   5,705.25/8,533.50 = 8,533.50/x
3. Step 3: Cross multiply
   5,705.25x = 8,533.50 × 8,533.50
4. Step 4: Simplify right side
   5,705.25x = 72,820,622.25
5. Step 5: Solve for x
   x = 72,820,622.25/5,705.25
6. Step 6: Final answer
   x = 12,763.79