Finding the Third Proportional to 4,782 and 5,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,782 : 5,200.50 = 5,200.50 : x
2. Step 2: Convert to fraction form
   4,782/5,200.50 = 5,200.50/x
3. Step 3: Cross multiply
   4,782x = 5,200.50 × 5,200.50
4. Step 4: Simplify right side
   4,782x = 27,045,200.25
5. Step 5: Solve for x
   x = 27,045,200.25/4,782
6. Step 6: Final answer
   x = 5,655.63